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Electrostatic Potential And Capacitance

Question

In a series LCR circuit, the voltage across an inductor, capacitor and resistor are 20 V, 20 V and 40 V respectively. What is the phase difference between the applied voltage and the current in the circuit?

Solution

Given,
Voltage across inductor, V_L = 20 V
Voltage across capacitor, V_C = 20 V
Voltage across resistor, V_R = 40 V

Using the formula,

\tan ϕ = \frac{V_{L} - V_{C}}{V_{R}}

= \frac{20 - 20}{40} = 0 .

∴

Phase difference between the applied voltage and current,

ϕ = 0 ° .