In a moving coil galvanometer, torque on the coil can be expressed as τ=ki, where i is current through the wire and k is constant. The rectangular coil of the galvanometer having number of turns N, area A and moment of inertia I is placed in magnetic field B. Find
a. k in terms of given parameters N,I,A and B
b. the torsion constant of the spring, if a current i0 produces a deflection of π/2 in the coil.
c. the maximum angle through which the coil is deflected, if charge Q is passed through the coil almost instantaneously. (ignore the damping in mechanical oscillations).