An inductor of inductance 2.0mH is connected across a charged capacitor of capacitance 5.0μF and the resulting L−C circuit is set oscillating at its natural frequency. Let Q denote the instantaneous change on the capacitor and i the current in the circuit. It is found that the maximum value of Q is 200μC . (a) When Q=100μC , what is the value of |di/dt| ? (b) When Q=200μC , what is the value of i ? (c)Find the maximum value of i (d) When i is equal to one-half its maximum value, what is the value of |Q| ?