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An infinitely long wire is placed near a...

An infinitely long wire is placed near a square loop as shown in figure. Choose the correct options.

A

the mutul inductance betweenthe two is `(mu_0a)/(2pi) ln (2)`

B

the mutual inductance between the two is `(mu_0)/(2pi) ln (2)`

C

if a constant current is passed in the straight wire in upward direction and loop is brought close to the wire then induced current in the loop is clockwise

D

in the above conditions, induced current in the loop is anti clockwise

Text Solution

Verified by Experts

The correct Answer is:
A, C
a.
`B_x=mu_0/(2pi) i/x`
`dphi=(B_x)dS=(mu_0/(2pi)i/x) (adx)`
`phi=int_a^(2a)dphi=(mu_0ia)/(2pi) ln 2`
`M=phi/i=(mu_0a)/(2pi) ln 2`
c.
Wire produces `o.` magnetic field over the loop. If the loop is brought closer to the wire, `o.` magnetic field passing through the loop increses. Hence, induced current produces `ox` magnetic field so, induced current is clockwise.
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