Question

The potential difference across the resistor is 160 V and that across the inductor is 120 V. Find the effective value of the applied voltage. If the effective current in the circuit is 1⋅0 A, calculate the total impedance of the circuit.

Answer 1

We have,

V_R = 160 V
V_L = 120 V

${\displaystyle {\text{V}}_{\text{net}}=\sqrt{{\left(160\right)}^2+{\left(120\right)}^2}}$

${\displaystyle =10\sqrt{256+144}}$

${\displaystyle =10\sqrt{400}}$

${\displaystyle =10\times 20\text{V}}$

V_net = 200 V

I_net = 1 A

${\displaystyle \text{Z}=\frac{\text{V}}{\text{I}}=200\Omega }$