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
Question 1 Report
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.
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