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Q. 34

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 902

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Short Answer

The magnetic field inside a -diameter superconducting solenoid varies sinusoidally between and at a frequency of .

a. What is the maximum electric field strength at a point from the solenoid axis?

b. What is the value of B at the instant E reaches its maximum value?

(a) The electric field at above the axis of solenoid is

(b) The value of the instant reaches its maximum is

See the step by step solution

Step by Step Solution

Part(a) Step 1: Explanation

The solenoid is the current carrying wire. The electric field circles around inside the solenoid.

So at a distance .

And area

Part(a) Step 2:

When magnetic field varies sinusoidally the expression for magnetic field is.

Substitute for , for and for .

Differentiate

Substitute for for , and for

The electric field will be maximum when

Substitute (to write the above expression in term of).

Substitute for to find .

Part(b) Step 1: Explanation

The electric field reaches maximum when,

,....

Where sine function goes to zero.

So when electric field reaches maximum,

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