Q1. A coil has a radius of 0.386m and 500 turns. From an original orientation with its plane perpendicular to the direction of a uniform magnetic field, the coil is rotated one-fourth of a revolution in 4.09ms.

a ) Find the magnitude, in tesla, of the magnetic field strength required to induce an average emf of 11.23kV.

Q2. Suppose a 45 cm long, 7.5 cm diameter solenoid has 1000 loops.

a ) Calculate the self-inductance of it in mH.

b ) How much energy is stored in this inductor when 19.5 A of current flows through it? Give your answer in J.

c ) How fast can it be turned off (in s) if the average induced emf cannot exceed 2.9 V?