Question

In a series LCR circuit, if resistance, inductive reactance and capacitive reactance are 3Ω, 8Ω and 4Ω respectively, calculate phase difference between voltage and current.

Answer 1

Given:

Resistance (R) = 3Ω

Inductive Reactance (X_L) = 8Ω

Capacitive Reactance (X_C) = 4Ω

Formula:

`tan phi = (X_L - X_C)/R`

`phi = tan^-1 ((X_L - X_C)/R)`

`tan phi = (8 - 4)/3`

`tan phi = 4/3`

`phi = tan^-1 (4/3)`

`phi` = 53.13°

∴ The phase difference between voltage and current is 53.13°.