You used the Biot-Savart law, but the problem doesn't give you an electric corrent. I think neither Ampere's law nor Biot-Savart law can work in this case as you don't have a current I in the problem statement
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I could be wrong but, why are you using gauss law for this charge distribution, I don't see any symmetry in this problem for a gaussian surface to be applied
I can't understand intuitively why the authors of the book expressed the cross product between the vectors dl and r (unit vector) as: dl sin(pi/2 - theta); isn't it supposed to be expressed as: dl sin(theta)?? So why did the authors put that pi/2 into the argument of sin function, that's my...
First find Rth. Start by removing the load, in this case the diode, as gneil said, then turn off the voltage source by replacing it With a Short circuit