A 70-turn circular coil has diameter 4.3 cm and resistance 2.5 . This coil is pl

Question

A 70-turn circular coil has diameter 4.3 cm and resistance 2.5 . This coil is placed inside a solenoid, with coil and solenoid axes aligned. The solenoid has 4900 turns of wire and is 28 cm long.

Part A

If the solenoid current increases steadily from 0 to 10 A in 2.3 s , find the induced emf in the coil.

Express your answer to two significant figures and include the appropriate units.

Part B

If the solenoid current increases steadily from 0 to 10 A in 2.3 s , find the induced current in the coil.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Here,

N = 70

radius , r = 4.3/2 = 2.15 cm

r = 0.0215 m

Resistance , R = 2.5 Ohm

part A)

induced emf in the coil = change in magnetic flux/time

induced emf in the coil = 70 * pi * 0.0215^2 * (4900/.28) * 4pi *10^-7 * (10/2.3)

induced emf in the coil = 0.00971 V

the induced emf in the coil is 0.00971 V

part B)

induced current = induced emf/R

induced current = 0.00971/2.5

induced current = 3.884 *10^-3 A

the induced current is 3.884 mA

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