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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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A solenoid with a cross-sectional area of 1.81 × 10?3 m2

Chapter 23, Problem 51P

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QUESTION:

Problem 51P

A solenoid with a cross-sectional area of 1.81 × 10−3 m2 is 0.750 m long and has 455 turns per meter. Find the induced emf in this solenoid if the current in it is increased from 0 to 2.00 A in 45.5 ms.

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QUESTION:

Problem 51P

A solenoid with a cross-sectional area of 1.81 × 10−3 m2 is 0.750 m long and has 455 turns per meter. Find the induced emf in this solenoid if the current in it is increased from 0 to 2.00 A in 45.5 ms.

ANSWER:

Step 1 of 3

Here, we have to calculate the induced emf of the coil.

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

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