### Physics Problem on Electromagnetic Induction**Problem Statement:**A narrow metal bar with resistance \( R \) and length \( \ell \) is constrained to slide along metal rails with negligible resistance. There is a switch that can close in position \( A \) or position \( B \). A uniform magnetic field with magnitude \( B_0 \) points into the screen and occupies a region with width \( d \).After the switch is closed, the metal bar is pulled to the left by a force \( \vec{F}_{\text{pull}} \) such that it always travels with a constant speed \( v_0 \) through the magnetic field.**Questions:**a) Will \( \vec{F}_{\text{pull}} \) do more work if the switch is closed in position \( A \) or in position \( B \)?b*) At the moment that the bar exits the region occupied by the magnetic field, how much energy was dissipated in the resistor, and how much energy is instantaneously stored in the inductor?### Diagram Explanation:The diagram consists of a metal bar on rails within a magnetic field, with the following components labeled:- The magnetic field is shown as a region with width \( d \), with field lines represented by crosses (\(\otimes\)) indicating the field points into the screen.- A force \( \vec{F}_{\text{pull}} \) acts to the left on the metal bar.- The metal bar has resistance \( R \) and length \( \ell \).- A switch can close between positions \( A \) and \( B \).- An inductor labeled \( L \) is present in the circuit.### Analysis of the Problem:**a) Force \( \vec{F}_{\text{pull}} \) Work Comparison:**- **Position \( A \):** When the switch is in position \( A \), the circuit through the resistor \( R \) affects the work done.- **Position \( B \):** When the switch is in position \( B \), the circuit includes the inductor \( L \), altering the work needed.**b*) Energy Dissipation and Storage:**- **Dissipation**: The energy dissipated in the resistor needs to be computed.- **Storage**: Energy stored in the inductor \( L \) as a result of the current induced when the bar exits the

Given, Length = l Resistance = R The end induced is given by Faraday's law, emf = (d/dt)(BA) emf =…

5. A narrow metal bar with resistance R and length is constrained to slide along metal rails with negligible resistance. There is a switch that can close in position A or position B. A uniform magnetic field with magnitude Bo points into the screen and occupies a region with width d. pull R L l d After the switch is closed, the metal bar is pulled to the left by a force Fpull such that it always travels with a constant speed vo through the magnetic field. a) Will Fpull do more work if the switch is closed in position A or in position B? b*) At the moment that the bar exits the region occupied by the magnetic field how much energy was dissipated in the resistor and how much energy is instantaneously stored in the inductor?

5. A narrow metal bar with resistance R and length is constrained to slide along metal rails with negligible resistance. There is a switch that can close in position A or position B. A uniform magnetic field with magnitude Bo points into the screen and occupies a region with width d. pull R L l d After the switch is closed, the metal bar is pulled to the left by a force Fpull such that it always travels with a constant speed vo through the magnetic field. a) Will Fpull do more work if the switch is closed in position A or in position B? b*) At the moment that the bar exits the region occupied by the magnetic field how much energy was dissipated in the resistor and how much energy is instantaneously stored in the inductor?

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)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

### Physics Problem on Electromagnetic Induction

**Problem Statement:**
A narrow metal bar with resistance \( R \) and length \( \ell \) is constrained to slide along metal rails with negligible resistance. There is a switch that can close in position \( A \) or position \( B \). A uniform magnetic field with magnitude \( B_0 \) points into the screen and occupies a region with width \( d \).

After the switch is closed, the metal bar is pulled to the left by a force \( \vec{F}_{\text{pull}} \) such that it always travels with a constant speed \( v_0 \) through the magnetic field.

**Questions:**

a) Will \( \vec{F}_{\text{pull}} \) do more work if the switch is closed in position \( A \) or in position \( B \)?

b*) At the moment that the bar exits the region occupied by the magnetic field, how much energy was dissipated in the resistor, and how much energy is instantaneously stored in the inductor?

### Diagram Explanation:

The diagram consists of a metal bar on rails within a magnetic field, with the following components labeled:
- The magnetic field is shown as a region with width \( d \), with field lines represented by crosses (\(\otimes\)) indicating the field points into the screen.
- A force \( \vec{F}_{\text{pull}} \) acts to the left on the metal bar.
- The metal bar has resistance \( R \) and length \( \ell \).
- A switch can close between positions \( A \) and \( B \).
- An inductor labeled \( L \) is present in the circuit.

### Analysis of the Problem:

**a) Force \( \vec{F}_{\text{pull}} \) Work Comparison:**

- **Position \( A \):** When the switch is in position \( A \), the circuit through the resistor \( R \) affects the work done.
- **Position \( B \):** When the switch is in position \( B \), the circuit includes the inductor \( L \), altering the work needed.

**b*) Energy Dissipation and Storage:**

- **Dissipation**: The energy dissipated in the resistor needs to be computed.
- **Storage**: Energy stored in the inductor \( L \) as a result of the current induced when the bar exits the

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