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Electrostatic Potential And Capacitance

Question
CBSEENPH12038018

In a series LCR circuit, voltages across an inductor, a capacitor and a resistor are 30 V, 30 V and 60 V respectively. What is the phase difference between applied voltage and current in the circuit? 

Solution
Given, a series LCR circuit.
Voltage across inductor, V= 30 V
Voltage across capacitor, Vc = 30 V
Voltage across resistor, VR = 60 V

since, VL= Vc = 30 V,
therefore,
 
            tan ϕ = VL - VCVR = 0  

                ϕ = 0° 

i.e., there is no phase difference between applied voltage and current in the circuit.

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