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

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
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Author:Katz, Debora M.
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Chapter32: Faraday’s Law Of Induction
Section: Chapter Questions
Problem 68PQ: Each of the three situations in Figure P32.68 shows a resistor in a circuit in which currents are...
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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 m/s
across and touches a stationary L-shaped conductor in a B = 0.1 T
magnetic field. The two vertices overlap, so that the enclosed area is
zero, at t = 0 s. The conductor has a resistance of r = 0.01 ohms per
meter. Find the induced emf and current at t = 0.1 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.
●
●
●
●
●
●
●
c) Compute the numerical values of & and I at t = 0.1 s. (Partial answer: I = 35 A)
●
●
●
stationary
↓
●
●
●
●
●
B=QIT
●
●
45°
15=10
m
FIG. 3: The scheme for Problem 2
b) Derive the formula for the induced emf, E = |d, and the induced current I in the loop. Which
formula do you need to use for the resistance of the loop?
Transcribed Image Text:Problem 3: The L-shaped conductor in Fig. 3 moves at v = 10 m/s across and touches a stationary L-shaped conductor in a B = 0.1 T magnetic field. The two vertices overlap, so that the enclosed area is zero, at t = 0 s. The conductor has a resistance of r = 0.01 ohms per meter. Find the induced emf and current at t = 0.1 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. ● ● ● ● ● ● ● c) Compute the numerical values of & and I at t = 0.1 s. (Partial answer: I = 35 A) ● ● ● stationary ↓ ● ● ● ● ● B=QIT ● ● 45° 15=10 m FIG. 3: The scheme for Problem 2 b) Derive the formula for the induced emf, E = |d, and the induced current I in the loop. Which formula do you need to use for the resistance of the loop?
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