A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius r = 3.00 cm, as shown in the end view of the figure below. The solenoid is 21.0 cm long and wound with 88 turns of wire.(a) If the current in the solenoid is 4.00 A, what is the magnetic flux through the square loop in T * m^2(b) If the current in the solenoid is reduced to zero in 4.00 s, what is the magnitude of the average induced emf in the square loop?

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Asked Nov 19, 2019
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A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius r = 3.00 cm, as shown in the end view of the figure below. The solenoid is 21.0 cm long and wound with 88 turns of wire.

(a) If the current in the solenoid is 4.00 A, what is the magnetic flux through the square loop in T * m^2

(b) If the current in the solenoid is reduced to zero in 4.00 s, what is the magnitude of the average induced emf in the square loop?

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Expert Answer

Step 1

(a) The magnetic field in the solenoid is

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B 4nl N = L40 1]

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Step 2

The magnetic flux through the loop is

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D BA -) 10 m 4.00A 1.00cm> cm 88 turns (4Tx107 T m/A) 102m 21.0 cmx lcm -2.11x 10-7T m2

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Step 3

(b) The current in the solenoid is reduced to zero...

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аФ-D0-Ф — 0— 2.11x10-7т-m? 3-2.11x10-7т -m?

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