Emf in a loop of radius a=1 as a function of time.

[wgdtelr]

Homework Statement

A plane EM wave in Vaccum is given by E = y Eo ei (kz-wt) with Eo = 1 V/m( real valued)
and wavelength λ= 10 m. A circular loop of radius a =1 m is located with its center at origin but Oriented so that a diameter lies along the z-axis while the plane of the loop makes an angle φ with y-axis.
Find the emf in the loop as a function of time and compute its maximum amplitude in Volts for optimal φ.

Homework Equations

The given EM wave in vacccum is E= y Eo exp i(kz-wt)

Hint: You can assume λ>>a to calculate the flux.

The Attempt at a Solution

At least give me an Idea on this how to approach this problem.. iam in need really..

 

[BigJDubs]

I think, we should use the Faradays law of induction to solve this problem. It states that the induced emf in a loop is equal to the rate of change of magnetic flux through it. So, the magnetic field has to be calculated first and then the flux can be calculated and then the emf can be calculated using faraday's law. Is this the correct approach?