I am uncertain about parts c and d.

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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I am uncertain about parts c and d.

A conducting rod of length \( \ell = 65.0 \, \text{cm} \) is free to slide on two parallel conducting bars as shown in the figure below. Two resistors \( R_1 = 6.00 \, \Omega \) and \( R_2 = 9.00 \, \Omega \) are connected across the ends of the bars to form a loop. A constant magnetic field \( B = 10.0 \, \text{T} \) is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of \( v = 4.00 \, \text{m/s} \).

### Diagram Description:
- The diagram shows a parallel conductor setup with a rod that can slide horizontally. 
- There are resistors \( R_1 \) and \( R_2 \) connected in the loop.
- The magnetic field is depicted by crosses (indicating direction into the page).
- The rod moves to the left with a velocity \( v \).

### Questions:
a) What is the magnitude and direction (positive terminal upward or positive terminal downward) of the emf induced in the moving rod? Think about which direction current will flow on the rod and remember current flows out of the positive end of a battery.

b) Calculate the magnitude and direction (upward or downward) of the induced currents through each of the two resistors.

c) Calculate the total power delivered to the resistors in the circuit.

d) What is the magnitude of the external force required to keep the bar moving to the left at the constant speed of \( 4.00 \, \text{m/s} \)?
Transcribed Image Text:A conducting rod of length \( \ell = 65.0 \, \text{cm} \) is free to slide on two parallel conducting bars as shown in the figure below. Two resistors \( R_1 = 6.00 \, \Omega \) and \( R_2 = 9.00 \, \Omega \) are connected across the ends of the bars to form a loop. A constant magnetic field \( B = 10.0 \, \text{T} \) is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of \( v = 4.00 \, \text{m/s} \). ### Diagram Description: - The diagram shows a parallel conductor setup with a rod that can slide horizontally. - There are resistors \( R_1 \) and \( R_2 \) connected in the loop. - The magnetic field is depicted by crosses (indicating direction into the page). - The rod moves to the left with a velocity \( v \). ### Questions: a) What is the magnitude and direction (positive terminal upward or positive terminal downward) of the emf induced in the moving rod? Think about which direction current will flow on the rod and remember current flows out of the positive end of a battery. b) Calculate the magnitude and direction (upward or downward) of the induced currents through each of the two resistors. c) Calculate the total power delivered to the resistors in the circuit. d) What is the magnitude of the external force required to keep the bar moving to the left at the constant speed of \( 4.00 \, \text{m/s} \)?
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