- #1
mattstover
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1. The problem statement
A plane electromagnetic wave traveling in a vacuum is given by E=(0, E_0*exp[i(kz-ωt)], 0) where E_0 is real. A circular loop of raduis a, N turns, and resistance R is located with its center at the origin. The loop is oriented so that a diameter lies along the z axis and the plane of the loop makes an angle θ with the y axis. Find the emf induced in the loop as a function of time. Assume that a<<λ.
attemp at a solution is attached as scan0001.jpg. the awnser should be
emf = pi*a^2*NkE_0*cos(theta)sin(wt)
A plane electromagnetic wave traveling in a vacuum is given by E=(0, E_0*exp[i(kz-ωt)], 0) where E_0 is real. A circular loop of raduis a, N turns, and resistance R is located with its center at the origin. The loop is oriented so that a diameter lies along the z axis and the plane of the loop makes an angle θ with the y axis. Find the emf induced in the loop as a function of time. Assume that a<<λ.
Homework Equations
The Attempt at a Solution
attemp at a solution is attached as scan0001.jpg. the awnser should be
emf = pi*a^2*NkE_0*cos(theta)sin(wt)