### Physics Problem: Conducting Rails and Moving Bar#### Problem DescriptionTwo long parallel conducting rails are separated by a distance \( d \). At one end, they are joined by a resistance \( R \). A conducting bar of length \( d \) is made to slide at constant velocity \( v \) along the rails. Both the bar and the rails have negligible resistance.**Questions:**1. **(a)** What current flows in the circuit?2. **(b)** How much power is required to move the bar?3. **(c)** How does the power dissipated in the resistance compare with the power required to move the bar?---To solve this problem, it is essential to analyze the circuit and apply relevant electromagnetic theories.### Detailed Explanation:1. **Current Flow in the Circuit (Part a):** - The sliding bar induces an electromotive force (emf) due to its motion in a magnetic field. By Faraday's Law of Induction, the emf (\( \epsilon \)) generated in the bar moving perpendicularly through a magnetic field \( B \) with a constant velocity \( v \) is given by: \[ \epsilon = B \cdot v \cdot d \] - According to Ohm's law, the current \( I \) flowing through the circuit, where the resistance is \( R \), can be calculated as: \[ I = \frac{\epsilon}{R} = \frac{B \cdot v \cdot d}{R} \]2. **Power Required to Move the Bar (Part b):** - The power \( P \) required to move the bar at a constant velocity against the induced magnetic force involves calculating the force \( F \) exerted on the bar due to the current and then finding the power required to overcome this force. The magnetic force is given by: \[ F = I \cdot d \cdot B \] - The power required to move the bar with this force at velocity \( v \) is: \[ P = F \cdot v = (I \cdot d \cdot B) \cdot v \] - Substituting the value of \( I \) from above: \[ P = \left( \frac{B \cdot v \cdot

Two long parallel conducting rails are separated by a distance d. At one end they are joined by a resistance R. A conducting bar of length d is made to slide at constant velocity v along the rails. Both the bar and the rails have negligible resistance. (a) What current flows in the circuit? (b) How much power is required to move the bar? (c) How does the power dissipated in the resistance compare with the power required to move the bar?

Two long parallel conducting rails are separated by a distance d. At one end they are joined by a resistance R. A conducting bar of length d is made to slide at constant velocity v along the rails. Both the bar and the rails have negligible resistance. (a) What current flows in the circuit? (b) How much power is required to move the bar? (c) How does the power dissipated in the resistance compare with the power required to move the bar?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A galvanometer has a coil resistance of Rgalv=22.4⁢ Ω. It is to be made into a voltmeter with a…

A: Given: Rgalv = 22.4 ohms Voltage = V = 265 Volts Igalv = 195.5 mA For galvanometer to act as…

Q: Consider a long, horizontal Large Wire with current of 10A flowing through it. We want to levitate a…

A: A) As we know that the direction of magnetic field above a current carrying wire in which current…

Q: When the switch S is toggled to the left, the capacitor C charges through the resistor R. When the…

A: Resistor used for charging VC=ε1-e-tRCR=-tCln1-VCε=-1.30 s8.50 μFln1-755 V1260 V1 μF10-6 F=1.67×105…

Q: A battery with = 2.00 V and no internal resistance supplies current to the circuit shown in the…

Q: In the accompanying figure, the rails, connecting end pieces, and rod all have a resistance per unit…

Q: In the circuit of the figure = 3.93 kV, C = 8.70 μF, R₁ = R₂ = R3 = 0.800 MQ. With C completely…

Q: A battery with = 5.00 V and no internal resistance supplies current to the circuit shown in the…

Q: A person grasps the ends of an electrically conducting copper wire in each hand. The wire has a…

Q: A galvanometer has a coil resistance of Rgalv = 61.7 Q. It is to be made into an ammeter with a…

Q: For a long period of time the switch S in position "b". At t = 0 s, the switch S moved from position…

Q: Suppose a motor connected to 117 V source draws 20.2 A when it first starts. (a) What is its…

A: current = voltage/resistance

Q: The electrical signals to the heart are typically coordinated to create a wave of compression that…

A: Given information:Potential difference applied (V) = 4200 VCapacitance of the capacitor (C) = 54 µF…

Q: A light bulb is connected to a 120.0-V wall socket. The current in the bulb depends on the time t…

Q: R2 C=6µF 6,00 V 02 Under steady state condition, A 6-V battery supplies current to the circuit shown…

A: Under steady state condition in DC circuit, capacitor offer infinite resistance and there is no…

Q: This is a graph showing the current, in amperes, over time, in seconds. State the number of cycles…

Q: A battery with & = 5.00 V and no internal resistance supplies current to the circuit shown in the…

Q: In the circuit of the figure & - 1.33 kV, C - 7.30 µF, R1 = R2 - R3 = 0.830 MQ. With C completely…

Q: A galvanometer has a coil resistance of Realy = 84.9 S2. It is to be made into a voltmeter with a…

Q: In the circuit of the figure below, ℰ = 3.0 kV, C = 6.0 μF, R1 = R2 = R3 = 0.72 MΩ. With C…

A: so

Q: The rod shown below moves to the right on essentially zero-resistance rails at a speed of v=2.20…

Q: In the circuit of the figure 8 = 1.20 kV, C = 8.00 µF, R1 = R2 = R3 = 0.930 MQ. With C completely…

Q: In the circuit shown, the switch has been open for a long time. At time t = 0 the switch is then…

Q: A light bulb is connected to a 120.0-V wall socket. The current in the bulb depends on the time t…

Q: n the circuit of the figure = 2.80 kV, C = 7.80 µF, R₁ = R₂ = R3 = 1.05 MQ. With C completely…

A: a) i1= 1.78 mA b) i2= 0.889 mA c) i3= 0.889 mA d) i1=1.33 mA e) i2= 1.33 mA f) i3= 0 A…

Q: In the circuit shown, E = 4V, R₁ =43, R₂ = 72 , and C = 14 µF. I₁* Initially, the capacitor is…

A: Voltage of battery (V) = 4V R1= 43 ohm. R2= 72 ohm. C= 14 micro farad.

Q: Calculate the current through the resister. Which way does it go? (Upward or downward) Please see…

Q: (d) an extension cord having a 0.06 resistance and through which 4.5 A is flowing; P= W (e) a…

A: When the current flows through the electronic device or the conductor the energy is lost in the form…

Q: In the circuit shown in the figure, all five resistors have the same value, 100 Ω, and each cell has…

Q: A light bulb is connected to a 120.0-V wall socket. The current in the bulb depends on the time t…

A: We are given current in bulb which is alternating current. We first find frequency of this current.…

Q: A student wants to know how much current passes through three (3) wires that are made of different…

Question

### Physics Problem: Conducting Rails and Moving Bar

#### Problem Description
Two long parallel conducting rails are separated by a distance \( d \). At one end, they are joined by a resistance \( R \). A conducting bar of length \( d \) is made to slide at constant velocity \( v \) along the rails. Both the bar and the rails have negligible resistance.

**Questions:**
1. **(a)** What current flows in the circuit?
2. **(b)** How much power is required to move the bar?
3. **(c)** How does the power dissipated in the resistance compare with the power required to move the bar?

---

To solve this problem, it is essential to analyze the circuit and apply relevant electromagnetic theories.

### Detailed Explanation:

1. **Current Flow in the Circuit (Part a):**
- The sliding bar induces an electromotive force (emf) due to its motion in a magnetic field. By Faraday's Law of Induction, the emf (\( \epsilon \)) generated in the bar moving perpendicularly through a magnetic field \( B \) with a constant velocity \( v \) is given by:
\[
\epsilon = B \cdot v \cdot d
\]
- According to Ohm's law, the current \( I \) flowing through the circuit, where the resistance is \( R \), can be calculated as:
\[
I = \frac{\epsilon}{R} = \frac{B \cdot v \cdot d}{R}
\]

2. **Power Required to Move the Bar (Part b):**
- The power \( P \) required to move the bar at a constant velocity against the induced magnetic force involves calculating the force \( F \) exerted on the bar due to the current and then finding the power required to overcome this force. The magnetic force is given by:
\[
F = I \cdot d \cdot B
\]
- The power required to move the bar with this force at velocity \( v \) is:
\[
P = F \cdot v = (I \cdot d \cdot B) \cdot v
\]
- Substituting the value of \( I \) from above:
\[
P = \left( \frac{B \cdot v \cdot

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

In the circuit of the figure = 4.00 kV, C = 7.70 μF, R1 = R2 = R3 = 0.930 MΩ. With C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what are (a) current i1 in resistor 1, (b) current i2 in resistor 2, and (c) current i3 in resistor 3? At t = ∞ (that is, after many time constants), what are (d)i1, (e)i2, and (f)i3? What is the potential difference V2 across resistor 2 at (g)t = 0 and (h)t = ∞?
A salenoid is 0.15 m long, has a radius of 0.04m, and contains 1250 turns. It is hooked up to a 9-Volt battery and a switch. When the switch is closed it lakes 35 milliseconds to reach 75% of the maximum current. What is the resistance ot this circuit?
A circuit consists of a single 50 Ohm resistor, a 12 V potential source and a switch. The switch is left on for 3 minutes. The Current and the energy delivered by the source is which of the following: Current is 0.24 A and the energy delivered is 518.4 J Current is 0.24 A and the energy delivered is 8.64 J O Current is 600 A and the energy delivered is 518.4 J Current is 600 A and the energy delivered is 8.64 J
Asap
In the circuit of the figure, 1 =1.5 kV, C = 6.0 F, R1 = R2 = R3 = 0.82 M. With C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what are (a) current i1 in resistor 1, (b) current i2 in resistor 2, and (c) current i3 in resistor 3? At t =  (that is, after many time constants), what are (d) i1, (e) i2, and (f) i3? What is the potential difference V2 across resistor 2 at (g) t = 0 and (h) t = 
In the figure, 8 = 149 V, R₁ = 12.10, R₂ =29.70, R3 = 28.8 2, and L = 1.97 H. Immediately after switch S is closed, what are (a) i₁ and (b) i2? (Let currents in the indicated directions have positive values and currents in the opposite directions have negative values.) A long time later, what are (c) i₁ and (d) i2? The switch is then reopened. Just then, what are (e) i₁ and (f) i2? A long time later, what are (g) i₁ and (h) i₂? (a) Number i (b) Number (c) Number i (d) Number i Units Units Units Units 8 iz↓ > R₂ R₁₂
In the circuit shown in Fig, switch S1 has been closed a long time while switch S2 has been left open. Then S2 is closed at the same instant when S1 is opened. Just after S2 is closed, the current through the resistor is 12.0 A and its rate of decrease is di/dt = -36.0 A/s. How long does it take the current to decrease to 6.00 A, one-half its initial value?
After the switch is turned off., the 12 (t) flow passing through its resistance is the function of the time) Which of the following is it? R. = 2R, R2 = 2R, C1 = C, C, = C Anahtar kapandıktan sonra R, direncinden geçen 1₂(t) akımı zamanın fonksiyonu olara aşağıdakilerden hangisidir? R₁ = 2R, R₂ = 2R, C₁=C. C₂₁₂=C a)e-t/ARC b)-e-t/2RC d) I -t/12RC -t/BRC -41/3RC
A light bulb is connected to a 120.0-V wall socket. The current in the bulb depends on the time t according to the relation / = (0.860 A) sin [(333 rad/s)t]. (a) What is the frequency of the alternating current? (b) Determine the resistance of the bulb's filament. (c) What is the average power delivered to the light bulb? (a) Number i Units (b) Number Units (c) Number i Units > >
In the accompanying figure, the rails, connecting end pieces, and rod all have a resistance per unit length of 202/cm. The rod moves to the left at v= 4 m/s. If B = 0.75 T everywhere in the region, what is the current in the circuit (a) when a = 10 cm? (b) when a = = 3.5 cm? B Hint a. When a = 10 cm, a counterclockwise circuit. b. When a = ● 3.5 cm, 17.14 current of 6 ● 4.0 cm x mA flows in the circuit. x mA flows in the
A light bulb is connected to a 120.0-V wall socket. The current in the bulb depends on the time t according to the relation / = (0.718 A) sin [(396 rad/s)t]. (a) What is the frequency of the alternating current? (b) Determine the resistance of the bulb's filament. (c) What is the average power delivered to the light bulb?
A person grasps the ends of an electrically conducting copper wire in each hand. The wire has a cross-sectional area of 4.0x106 m² and its surface is not insulated. If the person's hands are wet, the resistance of the possible electrical pathway from one hand, up the arm, across the chest and down into the other hand is about 1 kQ. (a) A current of 10 mA can “freeze" the muscles so the hands are clenched around the wires. Estimate the potential difference between the ends of the wire which would cause this. (b) How much power is dissipated in the person's body if this current flows? (c) The ends of the wire are connected to make a circuit that includes a battery, If the person grasps the wire with hands 0.20 m apart, comment on the resistances of the possible paths of electric current. The resistivity of copper is 1.7×108 Qm.