The voltage applied to a purely inductive coil of self-inductance 5/π mH given by the equation v = 100 sin (100πt) + 75 sin (500πt) V. Find the equation of the resulting current wave.

• A. i = 200 sin (100 πt + π) + 30 sin (500 πt + π) A
• B. i = 200 sin (100 πt – π) + 30 sin (500 πt – π) A
• C. \(i = 200\sin \left( {100\pi t - \frac{\pi }{2}} \right) + 30\sin \left( {500\;\pi t - \frac{\pi }{2}} \right)A\;\)
• D. \(i = 200\sin \left( {100\pi t + \frac{\pi }{2}} \right) + 30\sin \left( {500\;\pi t + \frac{\pi }{2}} \right)A\;\)