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Calculate the total impedance and current for a series RL circuit with R = 25 , L = 0.2 H, and V = 20 V at 5 kHz.

Physics

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2.1 Calculations

Given:
Resistance of coil (RR) = 25 Ω25 \, \Omega
Inductance of coil (LL) = 0.2 H0.2 \, \text{H}
Supply voltage (VV) = 20 V20 \, \text{V}
Supply frequency (ff) = 5 kHz=5000 Hz5 \, \text{kHz} = 5000 \, \text{Hz}

First, calculate the angular frequency (ω\omega) and inductive reactance (XLX_L).

ω=2πf=2π(5000 Hz)=10000π rad/s\omega = 2\pi f = 2\pi (5000 \, \text{Hz}) = 10000\pi \, \text{rad/s}
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