Calculate the inductance of a coil of resistance 30Ω Ω connected to a 100V a.c source if the coil draws an r.m.s current of 2A

Calculate the inductance of a coil of resistance 30$\Omega$ connected to a 100V a.c source if the coil draws an r.m.s current of 2A

Answer Details

The formula for inductance of a coil is given by L = V / (2 * π * f * I), where V is the voltage, f is the frequency, I is the current and π is pi. Since the resistance of the coil is 30 Ω and the current drawn by the coil is 2A, the voltage across the coil is 30 * 2 = 60V. The frequency of the AC source is not given, so we can assume it to be 50Hz (a commonly used frequency). Plugging in the values in the formula, we get: L = 60 / (2 * π * 50 * 2) L = 60 / (2 * π * 100) L = 0.6 / π L = 0.19H So, the inductance of the coil is approximately 0.19H, which is closest to 0.04H.