Question

Problem 22.17 (Multistep)

A coil of wire is connected to a power supply, and a current runs in the coil. A single loop of wire is located near the coil, with its axis on the same line as the axis of the coil. The radius of the loop is 3 cm.



At time t1 the magnetic field at the center of the loop, due to the coil, is 0.6 T, in the direction shown in the diagram; the current in the coil is constant.

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Part 1

(a) What is the absolute value of the magnetic flux through the loop at time t1?

Φmag= T·m2

the tolerance is +/-2%

\

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Part 2

(b) What approximations or assumptions did you make in calculating your answer to part (a)? Check all that apply.

The magnitude of the magnetic field due to the coil is uniform over the area of the loop.
The magnetic field outside the loop is zero.
The magnetic field due to the coil is uniform in direction over the area of the loop.

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Part 3

(c) What is the direction of the "curly" electric field inside the wire of the loop at time t1? (Remember that at this time the current in the coil is constant.)

E = 0clockwise counter-clockwise

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Part 4

At a later time t2, the current in the coil begins to decrease.

(d) Now what is the direction of the "curly" electric field in the loop?

clockwise E = 0counter-clockwise

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Part 5

At time t2 the rate of change of the magnetic field at the center of the loop, due to the coil, is -0.3 T/s.

(e) At this time, what is the absolute value of the rate of change of the magnetic flux through the loop?

ⅆⅆ|ⅆΦmagⅆt|= T·m2/s

the tolerance is +/-2%

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Part 6

(f) At this time, what is the absolute value of the emf in the loop?

|emf|= V

the tolerance is +/-2%

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Part 7

(g) What is the magnitude of the electric field at location P, which is inside the wire?

|E⇀|= V/m

the tolerance is +/-2%

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Part 8

(h) Now the wire loop is removed. Everything else remains as it was at time t2; the magnetic field is still changing at the same rate. What is the magnitude of the electric field at location P?

|E⇀|= V/mPower supply loop B coil coil At time ti the magnetic field at the center of the loon due to the coil is n 6 T

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Answer #1

DO a) 4 =BA = 0.6% are = 0.6 X *(0,03)2 = 0.00169 Tm² @ (b) The magnitude of magnetic field due to the wil is aniform over th

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