Hey guys, I have a physics II test tomorrow on Electricity and Magnetism, and I cannot seem to figure out this question.
The rectangular loop in the figure has 2.2×10−2Ω resistance.
What is the induced current in the loop at this instant?
2. Relevant equations
E = d(flux m)/dt
B = (mu_0)(I)/2(pi)(r)
flux m = integral (B * DA)
3. The attempt at a solution
However, the area is not changing, so I can pull that out of the integral.
Then I have to integrate:
Everything is constant except 1/r, so I can pull everything out and be left with:
integral (1/r)dr = ln(r)
So now we have:
E = d/dt(A)*(mu_not*I)*(ln(r))/(2*pi)
How do I take the derivative of this with respect to time?
Did I do the other steps correctly?