Please be clear with solutions! Thank you for the help.Mike
Homework Set 4 (10 pt.) 1. A circular wire loop of radius R is rotating uniformly with angular velocity ! about a diameter PQ. At its center and lying along this diameter is a small magnet of total magnetic moment M. What is the induced emf between the point P (or Q) and a point on the loop mid-way between P and Q? (10 pt) 2. A very long solenoid of radius b has n turns per unit length and carries a current I(t) = I0 sin (!t) (use cylindrical coordinate). (a) Find the magnetic eld B(t) inside the solenoid. (b) Find the electric eld E(t) inside and outside the solenoid (assume that the magnetic eld outside the solenoid is 0). (c) At t = 2! what is the electric eld E(t = 2! )? Sketch the magnitude of the electric eld jE(t = 2! )j as a function of s distance from the axis of solenoid. (10 pt) 3. A rectangular coil of dimensions a and b (coordinates of rectangular coil corners are (0; 0) (a; 0) (0; b) and (a; b)) and resistance R moves with constant velocity v (= ??v^y) into a regime where the magnetic eld B (= ??B^z) is nite. Derive an expression for the vector force on the coil in terms of the given parameters.
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