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c) Compute the numerical values of & and I at t = 0.1 s. (Partial answer: I = 35 A)

c) Compute the numerical values of & and I at t = 0.1 s. (Partial answer: I = 35 A)

College Physics
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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Hello I really need help with part A, part B and part C because I don't know and is there a chance you can label them 

**Problem 3:** The L-shaped conductor in Fig. 3 moves at \( v = 10 \, \text{m/s} \) across and touches a stationary L-shaped conductor in a \( B = 0.1 \, \text{T} \) magnetic field. The two vertices overlap, so that the enclosed area is zero, at \( t = 0 \, \text{s} \). The conductor has a resistance of \( r = 0.01 \, \text{ohms per meter} \). Find the induced emf and current at \( t = 0.1 \, \text{s} \). a) Find the formula for the side of the loop, \( x \), as a function of time. Note that the rate with which \( x \) is growing is equal not to the full speed of the conductor, \( v \), but to the horizontal projection of its velocity. Assuming that the loop stays a square at all times, derive the formula for the magnetic flux through it as a function of \( t \). b) Derive the formula for the induced emf, \( \mathcal{E} = \left| \frac{d\Phi}{dt} \right| \), and the induced current \( I \) in the loop. Which formula do you need to use for the resistance of the loop? c) Compute the numerical values of \( \mathcal{E} \) and \( I \) at \( t = 0.1 \, \text{s} \). (Partial answer: \( I = 35 \, \text{A} \)) **Figure Description:** - Figure 3 shows a diagram of the problem setup. - It includes two L-shaped conductors, where one is stationary and the other moves. - The stationary conductor is marked, and a magnetic field \( B = 0.1 \, \text{T} \) is shown with blue dots. - The angle of the moving conductor is \( 45^\circ \), and its velocity vector \( v = 10 \, \text{m/s} \) is indicated. The figure supports the explanation of how one conductor moves relative to the magnetic field, leading to an induced emf and current.
Transcribed Image Text:**Problem 3:** The L-shaped conductor in Fig. 3 moves at \( v = 10 \, \text{m/s} \) across and touches a stationary L-shaped conductor in a \( B = 0.1 \, \text{T} \) magnetic field. The two vertices overlap, so that the enclosed area is zero, at \( t = 0 \, \text{s} \). The conductor has a resistance of \( r = 0.01 \, \text{ohms per meter} \). Find the induced emf and current at \( t = 0.1 \, \text{s} \). a) Find the formula for the side of the loop, \( x \), as a function of time. Note that the rate with which \( x \) is growing is equal not to the full speed of the conductor, \( v \), but to the horizontal projection of its velocity. Assuming that the loop stays a square at all times, derive the formula for the magnetic flux through it as a function of \( t \). b) Derive the formula for the induced emf, \( \mathcal{E} = \left| \frac{d\Phi}{dt} \right| \), and the induced current \( I \) in the loop. Which formula do you need to use for the resistance of the loop? c) Compute the numerical values of \( \mathcal{E} \) and \( I \) at \( t = 0.1 \, \text{s} \). (Partial answer: \( I = 35 \, \text{A} \)) **Figure Description:** - Figure 3 shows a diagram of the problem setup. - It includes two L-shaped conductors, where one is stationary and the other moves. - The stationary conductor is marked, and a magnetic field \( B = 0.1 \, \text{T} \) is shown with blue dots. - The angle of the moving conductor is \( 45^\circ \), and its velocity vector \( v = 10 \, \text{m/s} \) is indicated. The figure supports the explanation of how one conductor moves relative to the magnetic field, leading to an induced emf and current.
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