a. Determine the current I(t) required to produce the B-field 2cos(wt)(T) in terms of other variables, for a sinusoidal field of 60 Hz, and N=100 turns.
b. Now assume that you have the above B-field generated inside the solenoid. Determine the P_diss, in the copper piece given that s_copper=387 J/kg Celsius; h = 0.5m; a = 1cm; d = 0.1cm.
c. Now determine the time required to raise the temperature of the copper piece from 20 degrees Celsius to its melting point of 1083.4 degrees Celsius.