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The inductance of a solenoid with 450 turns and a length

Chapter 23, Problem 49P

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QUESTION:

Problem 49P

The inductance of a solenoid with 450 turns and a length of 24 cm is 7.3 mH. (a) What is the cross-sectional area of the solenoid? (b) What is the induced emf in the solenoid if its current drops from 3.2 A to 0 in 55 ms?

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QUESTION:

Problem 49P

The inductance of a solenoid with 450 turns and a length of 24 cm is 7.3 mH. (a) What is the cross-sectional area of the solenoid? (b) What is the induced emf in the solenoid if its current drops from 3.2 A to 0 in 55 ms?

ANSWER:

Step 1 of 3

Here, we have to calculate the cross sectional area and induced emf in the coil.

The inductance of a coil,

 -----------------------------(1)

Where,  - Permeability of free space

              - Number of turns of the coil

              - Length of the coil

              - Area of the coil

The change in magnetic flux,  ----------(2)

Where,  - Change in current

The equation for the induced emf is,  --------(3)

Where,  - Change in time

a)

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