Problem 31:
The parallel circuit depicts three resistors connected to a voltage source.
The voltage source (AVtot) is a 110.-V source and the resistor values are
15.4 QR1), 21.9 D (R2) and 11.7 Q (R3).
b. Determine the current in each branch resistor.
c. Determine the total current in the circuit.

Problem 31:The Parallel Circuit Depicts Three Resistors Connected To A Voltage Source.The Voltage Source

Answers

Answer 1

Answer:

Bi. Current in 15.4 Ω (R₁) is 7.14 A.

Bii. Current in 21.9 Ω (R₂) is 5.02 A.

Biii. Current in 11.7 Ω (R₃) is 9.40 A.

C. Total current in the circuit is 21.56 A.

Explanation:

Bi. Determination of the current in 15.4 Ω (R₁)

Voltage (V) = 110 V

Resistance (R₁) = 15.4 Ω

Current (I₁) =?

V = I₁R₁

110 = I₁ × 15.4

Divide both side by 15.4

I₁ = 110 / 15.4

I₁ = 7.14 A

Therefore, the current in 15.4 Ω (R₁) is 7.14 A.

Bii. Determination of the current in 21.9 Ω (R₂)

Voltage (V) = 110 V

Resistance (R₂) = 21.9 Ω

Current (I₂) =?

V = I₂R₂

110 = I₂ × 21.9

Divide both side by 21.9

I₂ = 110 / 21.9

I₂ = 5.02 A

Therefore, the current in 21.9 Ω (R₂) is 5.02 A

Biii. Determination of the current in 11.7 Ω (R₃)

Voltage (V) = 110 V

Resistance (R₃) = 11.7 Ω

Current (I₃) =?

V = I₃R₃

110 = I₃ × 11.7

Divide both side by 11.7

I₃ = 110 / 11.7

I₃ = 9.40 A

Therefore, the current in 11.7 Ω (R₃) is 9.40 A.

C. Determination of the total current.

Current 1 (I₁) = 7.14 A

Current 2 (I₂) = 5.02 A

Current 3 (I₃) = 9.40 A

Total current (Iₜ) =?

Iₜ = I₁ + I₂ + I₃

Iₜ = 7.14 + 5.02 + 9.40

Iₜ = 21.56 A

Therefore, the total current in the circuit is 21.56 A


Related Questions

Weathering of rocks can occur in many ways. In the western United States, strong winds can erode huge rock formations by blowing millions of tiny grains of sand at these rocks. Which term accurately describes this type of weathering?

Answers

Answer: physical or mechanical weathering

Explanation:

Mechanical weathering which is also referred to as the physical weathering occurs when a rock is broken down into smaller pieces. In this case, there will be a physical change of the rock but its composition will not change.

Some examples include ice freezing and expansion of the cracks in the rock, Smstrong winds that carrycpieces of sand which then sandblast surfaces, moving water which causes abrasion etc.

Which is the preserved evidence of the activity of an organism?

Answers

Answer:

Fossils are the remains of an ancient organism or the traces of activity of such an organism. There are two types of fossils: body fossils and trace fossils. Body fossils include preserved remains of an organism (i.e. freezing, drying, petrification, permineralization, bacteria and algea).

What happens to the wavelength of a wave if the frequency quadruples, but the wave is in the same medium?

A. The wavelength will go down to half the original amount.

B. The wavelength will go down to one-fourth of the original amount.

C. The wavelength will be quadruple.

D. The wavelength will double.

Answers

Answer:

I think C? I'm not sure totally though...

Explanation:

A 9 kg box is placed on a 6 m tall shelf. What will be the kinetic energy of the box right before it hits the ground? (use g = 10 m/s/s)

Answers

Answer:

540 J

Explanation:

U at top equals to K at bottom if it's an isolated system therefore U at top is equals to 540 J so we can assume that at 0m U=0 (mgh) therefore the box has gained some velocity due to the acceleration due to g and we can calculate it using 1/2mv²

why we need system of measurement​

Answers

Answer:

Without the ability to measure, it would be difficult for scientists to conduct experiments or form theories. Not only is measurement important in science and the chemical industry, it is also essential in farming, engineering, construction, manufacturing, commerce, and numerous other occupations and activities.

Explanation:

The series circuit depicts three resistors connected to a voltage
source. The voltage source (AVtot) is a 110-V source and the resistor
values are 7.2 (R1), 6.2 A2 (R2) and 8.6 22 (R3).
b. Determine the current in the circuit.
A
c. Determine the voltage drops across each individual resistor.

Answers

Answer:

B. Current in the circuit is 5.

Ci. Voltage across 7.2 Ω (R₁) is 36 V

Cii. Voltage across 6.2 Ω (R₂) is 31 V

Ciii. Voltage across 8.6 Ω (R₃) is 43 V

Explanation:

We'll begin by calculating the number equivalent resistance in the circuit. This can be obtained as follow:

Resistor 1 (R₁) = 7.2 Ω

Resistor 2 (R₂) = 6.2 Ω

Resistor 3 (R₃) = 8.6 Ω

Equivalent Resistance (R) =?

Since the resistors are in series connection, the equivalent resistance can be obtained as follow:

R = R₁ + R₂ + R₃

R = 7.2 + 6.2 + 8.6

R = 22 Ω

B. Determination of the current.

Voltage (V) = 110 V

Resistance (R) = 22 Ω

Current (I) =?

V = IR

110 = I × 22

Divide both side by 22

I = 110 / 22

I = 5 A

Therefore, the current in the circuit is 5.

Ci. Determination of the voltage across 7.2 Ω (R₁)

Resistor 1 (R₁) = 7.2 Ω

Current (I) = 5 A

Voltage 1 (V₁) =?

V₁ = IR₁

V₁ = 5 × 7.2

V₁ = 36 V

Therefore, the voltage across 7.2 Ω (R₁) is 36 V

Bii. Determination of the voltage across 6.2 Ω (R₂)

Resistor 2 (R₂) = 6.2 Ω

Current (I) = 5 A

Voltage 2 (V₂) =?

V₂ = IR₂

V₂ = 5 × 6.2

V₂ = 31 V

Therefore, the voltage across 6.2 Ω (R₂) is 31 V

Ciii. Determination of the voltage across 8.6 Ω (R₃)

Resistor 3 (R₃) = 8.6 Ω

Current (I) = 5 A

Voltage 3 (V₃) =?

V₃ = IR₃

V₃ = 5 × 8.6

V₃ = 31 V

Therefore, the voltage across 8.6 Ω (R₃) is 43 V

A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 14 A, while that of the vacuum cleaner is 4.2 A. Determine the power consumed by (a) the blow-dryer and (b) the vacuum cleaner. (c) Determine the ratio of the energy used by the blow-dryer in 16 minutes to the energy used by the vacuum cleaner in 43 minutes.

Answers

Answer:

The correct solution is:

(a) 1680 W

(b) 504 W

(c) 1.240

Explanation:

The given values are:

Voltage,

V = 120 V

Current of blow dryer,

I₁ = 14 A

Current of vacuum cleaner,

I₂ = 4.2 A

Time,

t₁ = 16 min

t₂ = 43 min

As we know,

⇒ [tex]Power (P) = VI[/tex]

(a)

For blow dryer:

⇒ [tex]P_1=V\times I_1[/tex]

        [tex]=120\times 14[/tex]

        [tex]=1680 \ W[/tex]

(b)

For Vacuum cleaner:

⇒ [tex]P_2=V\times I_2[/tex]

        [tex]=120\times 4.2[/tex]

        [tex]=504 \ W[/tex]

(c)

The ratio will be:

= [tex]\frac{Blow \ dryer \ energy}{Vacuum \ cleaner \ energy}[/tex]

= [tex]\frac{P_1\times t_1}{P_1\times t_2}[/tex]

= [tex]\frac{1680\times 16}{504\times 43}[/tex]

= [tex]\frac{26880}{21672}[/tex]

= [tex]1.240[/tex]

A 20 ohm and 60 ohm light bulb are put in series together which one would be brighter?

Answers

Answer:

The 60 Ohm bulb would be brighter than the 20 Ohm bulb.

Explanation:

Hi there!

Ohm's Law: [tex]V=IR[/tex] where V is voltage, I is current and R is resistance

Power equation: [tex]P=VR[/tex]

The greater the power of a bulb, the brighter it is.

The bulbs are connected in series, meaning the the current travelling through each will be the same. Plug Ohm's law into the power equation so we just have I and R:

[tex]P=I^2R[/tex]

Because the current stays the same, the bulb with greater resistance will have greater power, hence being brighter. Therefore, the 60 Ohm bulb would be brighter than the 20 Ohm bulb.

I hope this helps!

Answer:

The 60 Ohm bulb would be brighter than the 20 Ohm bulb.

Explanation:

Hi there!

Ohm's Law: V=IRV=IR where V is voltage, I is current and R is resistance

Power equation: P=VRP=VR

The greater the power of a bulb, the brighter it is.

The bulbs are connected in series, meaning the the current travelling through each will be the same. Plug Ohm's law into the power equation so we just have I and R:

P=2RP=I

2

R

Because the current stays the same, the bulb with greater resistance will have greater power, hence being brighter. Therefore, the 60 Ohm bulb would be brighter than the 20 Ohm bulb.

I hope this helps!

A car initially at rest undergoes uniform acceleration for 6.32 seconds and covers a distance of 120 meters. What is the approximate acceleration of the car?

Answers

Answer:

Explanation:

The equation for acceleration is

[tex]a=\frac{v_f-v_0}{t}[/tex]. We have the initial velocity since we are told that the car started from rest. What we don't have is the final velocity. But we can find it because we were told that the car undergoes uniform acceleration, so the equation

d = rt will give us that final velocity.

120 = r(6.32) so the velocity or rate of the car is

r = 19 m/s. Plug that in to find the acceleration of the car:

[tex]a=\frac{19-0}{6.32}[/tex] so

a = 3.0 m/s/s

A powerful motorcycle can produce an acceleration of 3.00 m/s2 while traveling at 106.0 km/h. At that speed, the forces resisting motion, including friction and air resistance, total 432.0 N. (Air resistance is analogous to air friction. It always opposes the motion of an object.) What is the magnitude of the force that motorcycle exerts backward on the ground to produce its acceleration if the mass of the motorcycle with rider is 241 kg

Answers

Answer:

"1155 N" is the appropriate solution.

Explanation:

Given:

Acceleration,

[tex]a=3 \ m/s^2[/tex]

Forces resisting motion,

[tex]F_f=432 \ N[/tex]

Mass,

[tex]m = 241 \ kg[/tex]

By using Newton's second law, we get

⇒ [tex]F-F_f=ma[/tex]

Or,

⇒         [tex]F=ma+F_f[/tex]

By putting the values, we get

⇒             [tex]=(3\times 241)+432[/tex]

⇒             [tex]=723+432[/tex]

⇒             [tex]=1155 \ N[/tex]

A truck starts from rest with an acceleration of 0.3 m/ S^2 find its speed in km/h when it has moves through 150 m​

Answers

Answer:

v = 34.128 km/hr

Explanation:

Given that,

The initial speed of a truck, u = 0

Acceleration of the truck, a = 0.3 m/s²

Distance moved, d = 150 m

Let the final speed of the truck is v. Using third equation of motion i.e.

[tex]v^2-u^2=2ad\\\\v=\sqrt{u^2+2ad}[/tex]

Put all the values,

[tex]v=\sqrt{0^2+2\times 0.3\times 150}\\\\v=9.48\ m/s[/tex]

or

v = 34.128 km/h

So, the final speed of the truck is equal to 34.128 km/h.

A uniform plank 4 m long is pivoted about its center to an angle of 30° with the vertical. What magnitude of force
must be applied 0.5 m from the pivot to maintain equilibrium with a 4 kg mass hanging from one end?
A. 80 N
B. 20 N
C. 40 N
D. 60 N
E. 100 N

Answers

Answer:

A. 80 N

Explanation:

Since the uniform plank is pivoted at its center at an angle of 30 to the vertical, then it is 90° - 30° = 60° to the horizontal.

Let L be the length of the plank = 4 m, the perpendicular distance of the 4 kg mass form the pivot point is Lcos60°/2. Then the moment of the 4 kg mass about its pivot point is mgLcos60/2 where m = mass = 4 kg and g = acceleration due to gravity = 10 m/s²

Let F be the force applied at 0.5 m from the pivot point. The perpendicular distance of F from the pivot point is 0.5cos60°. Thus the moment of this force about the pivot point is F × 0.5cos60° = 0.5Fcos60°

Since both moments are the same for equilibrium,

mgLcos60/2 = 0.5Fcos60°

F = mgL/(2 × 0.5 m)

F = 4 kg × 10 m/s² × 4 m/1 m

F = 80 kgm/s²

F = 80 N

Reason whether or not work is done in the following cases:
A. a basketball player shoots a free throw.
B. a peasant pulls a rope tied to a donkey without being able to displace it from its position.​

Answers

Answer:

A work is done because the object moved

B no work is done because the donkey didnt move

Explanation:

The firing of a bullet by a rifle causes the rifle to recoil backwards. The speed of
the rifle's recoil is smaller than the bullet's forward speed because the___

A.)force against the rifle is relatively small

B.)speed is mainly concentrated in the bullet

C.)rifle has lots of mass

D.)momentum of the rifle is unchanged

Answers

Answer:c i.e. rifle has lots of mass

Explanation:It's because we know that the force of recoiling is same. But since the mass of rifle is very much greater than that of the bullet, it's balanced by the less speed of the recoiling of the rifle.

20 POINTS:
Why does the initial hill of a roller coaster need to be steep?

Answers

Answer: A roller coaster does not have an engine to generate energy. The climb up the first hill is accomplished by a lift or cable that pulls the train up. This builds up a supply of potential energy that will be used to go down the hill as the train is pulled by gravity

Hope this helps! Good luck with future homework and exams!

a roller coaster does not have a engine to generate energy they climb up the first hill is accomplished. by a lift or a cable that pulls the train up . this builds a supply of potential energy that will be used to go down the coaster.

I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED
put the correct words with the correct pictures

Answers

1, 2, 4, 5 is examples of mass everything else is weight!

Which of the following statements are true about covalent bonding between two atoms? Select all that apply.

A. Electrons are shared.
B. The electronegativities of the two atoms are close to each other.
C. The two atoms can be of the same element.
D. Electrons transfer from one atom to the other.

Answers

Answer:

A and C

Explanation:

Covalent bonding involves sharing by the atoms involved

Statements that can be considered as true statement about covalent bonding between two atoms are:

A. Electrons are shared.

B. The electronegativities of the two atoms are close to each other.

C. The two atoms can be of the same element.

Covalent bond can be regarded as chemical bond in which electrons pairs are been shared between atoms, these atoms can be of the same element.

These electron pairs are called pairs or bonding pairs.

Therefore, option A,B,C are correct.

Learn more at

https://brainly.com/question/19382448?referrer=searchResults

how much energy must be absorbed by 20.0 g of water to change its temperature from 95 degrees celsius to 125 degrees celsius

Answers

Answer:

I got 2508 J

Explanation:

q=mct

125-95

= 30 * 4.18 * 20

= 2508

what 3 words or 3 phrases that would help you remember the steps to Covalent and Ionic bonding?

Answers

Answer:

non metals and non metals=covalent bond

metals and non metals =ionic bond

transfer all the valence electron to form ionic bond

share valence electron to form covalent bond

the answer is b :)

Samples of different materials, A and B, have the same mass, but the sample
of A is higher in density. Which statement could explain why this is so?
A. The particles that make up material B are more closely packed
together than the particles that make up material A.
B. The particles that make up material A have more mass than the
particles that make up material B.
C. The sample of material A has greater volume than the sample of
material B.
D. The particles that make up material B have more mass than the
particles that make up material A.

Answers

Answer:

Answer is letter B

Answer:  THE CORRECT ANSWER IS :  The partiles that make up material B are more closely packed together than the partiles that make up material A

Explanation:     I TOOK THE TEST    apex

3. How do energy transformations, energy transfers, and conservation of energy allows you to track how energy moves through in a system? ​

Answers

Answer:

The law of conservation of energy states that when one form of energy is transformed to another, no energy is destroyed in the process. According to the law of conservation of energy, energy cannot be created or destroyed. So the total amount of energy is the same before and after any transformation

Explanation:

The energy in a system always transforms from one form to another without any significant loss or addition. It simply changes from one form to another with the effect of numerous external influences.

What is Energy transformation?

Energy transformation may be defined as the process through which energy can convert from one form to another. It also illustrates the migration of energy from one place to another due to physical factors.

According to the law of conservation of energy, in a closed system energy can neither be created nor destroyed. The total amount of energy remains the same before and after the process of transformation.

Therefore, the energy in a system always transforms from one form to another without any significant loss or addition.

To learn more about Energy transformations, refer to the link:

https://brainly.com/question/16917873

#SPJ2

Transformar las siguientes unidades al Sistema Internacional: 30 km/h ; 37 Dm ; 750 g ; 4x10-6 km2 ; 7500 cm ; 600000 cm2 ; 520700000 mm3 ; 3,4 años.

Answers

Answer:

a)  3.0  10⁴ m / s, b) 3.7 10¹ m, c) 0.750 kg, d) 4 10¹² m²,  e)  75 m, f) 60 m²

g) 5.207 10³ m², e) 4.847 10⁷ s

Explanation:

The international system (SI) of measurements has as fundamental units the meter for length, the second for time and kilogram for mass.

Let's reduce the different magnitudes to the SI system

a) 30 km / h (1000m / 1 km) (1 h / 3600 s) = 3.0 10⁴ m / s

b) 37 Dm (10 m / 1 Dm) = 3.7 10¹ m

c) 750 g (1 kg / 10,000 g) = 0.750 kg

d) 4 10⁶ km² (1000 m / 1km) ² = 4 10¹² m²

e) 7500 cm (1 m / 100 cm) = 75 m

f) 600000 cm² (1m / 10² cm) ² = 60 m²

g) 520700000 mm³ (1 m / 10³ mm) ³ = 5.20700000 109/10 ^ 6

  = 5.207 10³ m²

e) 3.4 years (l65 days / 1 yr) (24 h / 1 day) (3600 s / 1h) = 4.847 10⁷ s

For general projectile motion with no air resistance, the vertical component of a projectile's acceleration For general projectile motion with no air resistance, the vertical component of a projectile's acceleration remains a non-zero constant. continuously decreases. first decreases and then increases. is always zero. continuously increases.

Answers

Answer:

Rmains constant

Explanation:

The equation of the trajectory of a projectile motion is presented as follows;

[tex]Y = x \cdot tan \theta -\dfrac{g \cdot x^2}{2 \cdot u^2 \cdot cos^2 \theta}[/tex]

The vertical componet of the prjectile motion is

y = (u·sinθ)·t - g·t²/2

Where;

θ = The angle with which the projectile is launched

x = The horizontal distance

u = The initial velocity of the projectile

g = The acceleration due to gravity = Constant

t = The time of motion

The acceleration acting on the projectile is the 'g' which is the constant acceleration due to gravity

Therefore, for general projectile motion with no air resistance, the vertical component of the projectile acceleration remains constant

A magnetic compass is placed near an insulated copper wire. When the wire is connected to a battery and a current is created, the compass needle moves and changes its position. Which is the best explanation for the production of a force that causes the needle to move?

Answers

Explanation:

When the wire is connected to a battery, the compass needle moves and changes its position. This happens because the needle magnetizes the copper wire, thus,  creating a force.

While the current in the wire produces a magnetic field and exerts a force on the needle. The insulation on the wire becomes energized and exerts a force on the needle. Hence, the compass needle moves and changes its position.

How much energy is required to move an electron through a potential difference of
12 V?

1) 1.9 x 10^- 18 )
2) 7.5 x 10^- 18 )
3) 1.3 x 10^-20)
4) 7.5 x 10^18 J

Answers

I think it’s going to be the 2nd one

A charge Q creates an electric field. At a distance of 10 cm, the electric field strength
is 30 N/C. What is the electric field strength at a distance of 20 cm? NO LINKS.

1) 7.5 N/C
2) 15 N/C
3) 60 N/C
4) 120 N/C

Answers

Answer:

simltinoues divide two eqn El÷E2 Kq\ r^2\kq \2r^2 then you get it 7.5 N\c the answer is A

8× +5+9×+3 how can I solve this​

Answers

Answer:

collect like terms then add

=>8x+9x+5+3

=>8x+9x+5+3=>17x+8

What happens to the mass number of an atom when the
number of neutrons in the nucleus of that atom increases?

Answers

pretty sure it increases

The ship was travelling 93 meters per second, 25 degrees above the x-axis Northeast. Determine the magnitude and direction of the horizontal vector component, Vx.

Answers

Answer: [tex]92.18\ m/s[/tex], east

Explanation:

Given

Ship is traveling at a speed of [tex]v=93\ m/s[/tex]

Direction of ship is [tex]25^{\circ}[/tex] North of east

If we break velocity vector in x and y axes then, the horizontal component is given by

[tex]\Rightarrow v_x=93\cos 25^{\circ}\\\Rightarrow v_x=92.18\ m/s[/tex]

The direction of horizontal component is towards east with magnitude of [tex]92.18\ m/s[/tex]

which one of the following is not a derived quantity a)speed b)velocity c)time d)force​

Answers

Answer:

c) time

Explanation:

time is a fundamental quantity from which other quantities are derived

Other Questions
When and why did the news inthe United States start tobecome more objective? What is the slope? HELP PLEASE! In meiosis II, _____. View Available Hint(s) In meiosis II, _____. chromosomes cross over to exchange genetic information chromosome number is reduced from diploid to haploid homologous chromosomes pair to ensure their even distribution to daughter cells sister chromatids are separated in aU1 A genetic change that occurs in a body cell of amouse will not contribute to the evolution of thespecies because(1) body cell mutations will cause the cell to diebefore it reproduces(2) the evolution of a species can result fromchanges in reproductive cells, not body cells(3) random changes are repaired by enzymesbefore they are passed on to offspring(4) the evolution of a species is caused by naturalselection, not genetic variation can someone help me out pls ill give brainliest! I need some help on this can u guys help? The measure of an angle is 89. Find the measure of its supplementent a. 91b. 89c.90d. 80 The Harper family purchased a small microwave for their family room. The diagonal of the door measures 15 inches. The door also has an area of 108 square inches. What are the length and width of the microwave door? Enter values separated by a comma. If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs? No links Pls I need help Claim: Yellow color is always an adaptive trait in a yellow environment. Do you agree or disagree with this claim? An angle of a right triangle measures 65 degrees. If the length of the side opposite to the angle is 20 ft, what are the lengths of the two other sides? What is the slope of the line 4x-3x-5=0 explain the difference between absorption and transmission of light comenta con tus palabras las ideas centrales de la teora etica elaborada por kant PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE Will mark correct answer brainliest What does this mean??? 1200 per week or 1200 per day? The reaction of an acid and a base produce water and a In the figure, RV, WS, and QT intersect at point P.What is the value of x? Show your work. Which sentence uses the comma correctly?1. Jack lives in Spanaway, Washington.2. Jack lives in, Spanaway Washington.3. Jack lives, in Spanaway Washington.4. Jack, lives in Spanaway Washington.