Q. 34

Expert-verifiedFound in: Page 902

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

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

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

So at a distance .

And area

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 .

The electric field reaches maximum when,

,....

Where sine function goes to zero.

So when electric field reaches maximum,

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