Asmall loop of area a is inside of, and has its axis in the same direction as, a long solenoid of n turns per unit length and current i. if i = i0 sin(ωt), find the emf in the loop. (use the following as necessary: a, n, i0, ω, t, and μ0.)

EMF,

Solution:

As per the question:

Area of the loop is A

No. of turns in the solenoid is n

Current,

Now, we know that by Faraday's law:

EMF,                   (1)

where

= flux linkage

Now,

where

B = Magnetic Flux

A = Cross-sectional Area

diagram is missing, but i will try to explain your doubt.

answer:

amplitude is the maximum displacement or distance moved on a point of a vibrating body or wave measured from its equilibrium position.it is equal to half the length of vibration path.

unlike poles attract