A long straight current carrying wire passes normally through the centre of circular loop. If the current through the wire increases, will there be an induced emf in the loop? Justify.

Question

Philoid · Accepted Answer

Induce emf (e) is directly proportional to rate of change of magnetic

Flux (ϕ_B).

Magnetic flux, ϕ_B = B. A cosθ

Where,

B = Magnetic field

A = Area

θ = Angle between B and A

Here, Loop is perpendicular to wire. So,

θ = 90⁰

⇒ Magnetic flux (ϕ_B) = B. A cos0

⇒ Magnetic flux (ϕ_B) = 0

The induced emf,

Since, there is no flux linked with the loop the induced current ill also be 0.

Hence, no change in emf even though there is a change in current

in wire.