A conducting bar of length { moves to the right on two frictionless rails, as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 0.31 T. Assume { = 32 cm and R = 8.8 N. Bn Fapp (a) At what constant speed should the bar move to produce an 8.6 mA current in the resistor? m/s What is the direction of this induced current? O clockwise O counterclockwise O into the screen O out of the screen (b) At what rate is energy delivered to the resistor? mw (c) Explain the origin of the energy being delivered to the resistor.

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A conducting bar of length \( l \) moves to the right on two frictionless rails, as shown in the figure. A uniform magnetic field directed into the page has a magnitude of \( 0.31 \, \text{T} \). Assume \( l = 32 \, \text{cm} \) and \( R = 8.8 \, \Omega \).

**Diagram Explanation:**
- The diagram shows a conducting bar moving to the right.
- \( R \) represents a resistor connected to the rails.
- \( \vec{B}_{in} \) indicates the magnetic field directed into the page, represented by crosses.
- \( \vec{F}_{app} \) indicates the applied force moving the bar to the right.
- The current \( i \) flows counterclockwise along the loop formed by the rails and bar.

### Questions:

**(a) At what constant speed should the bar move to produce an \( 8.6 \, \text{mA} \) current in the resistor?**

[  ] m/s

What is the direction of this induced current?
- [ ] clockwise
- [ ] counterclockwise
- [ ] into the screen
- [ ] out of the screen

**(b) At what rate is energy delivered to the resistor?**

[  ] mW

**(c) Explain the origin of the energy being delivered to the resistor.**

[Answer here]
Transcribed Image Text:A conducting bar of length \( l \) moves to the right on two frictionless rails, as shown in the figure. A uniform magnetic field directed into the page has a magnitude of \( 0.31 \, \text{T} \). Assume \( l = 32 \, \text{cm} \) and \( R = 8.8 \, \Omega \). **Diagram Explanation:** - The diagram shows a conducting bar moving to the right. - \( R \) represents a resistor connected to the rails. - \( \vec{B}_{in} \) indicates the magnetic field directed into the page, represented by crosses. - \( \vec{F}_{app} \) indicates the applied force moving the bar to the right. - The current \( i \) flows counterclockwise along the loop formed by the rails and bar. ### Questions: **(a) At what constant speed should the bar move to produce an \( 8.6 \, \text{mA} \) current in the resistor?** [ ] m/s What is the direction of this induced current? - [ ] clockwise - [ ] counterclockwise - [ ] into the screen - [ ] out of the screen **(b) At what rate is energy delivered to the resistor?** [ ] mW **(c) Explain the origin of the energy being delivered to the resistor.** [Answer here]
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