An LCR series circuit is connected to an oscillator (AC supply) having RMS voltage 200 V . If the RMS voltages across resistor, inductor and capacitor are equal, then RMS voltage across the resistor would be

Question

An LCR series circuit is connected to an oscillator (AC supply) having RMS voltage 200 V . If the RMS voltages across resistor, inductor and capacitor are equal, then RMS voltage across the resistor would be (A) 100 V (B) (200 V/√2) (C) 200 V (D) (100/√2)V

Tardigrade Admin · Accepted Answer

∵ V=√(VR)2 + (VL - VC)2=VR(∵ VL = VC) VR=V=200 volt

Q. An LCR series circuit is connected to an oscillator (AC supply) having RMS voltage $200 V$ . If the RMS voltages across resistor, inductor and capacitor are equal, then RMS voltage across the resistor would be

$100 V$

$\frac{200 V}{2}$

$200 V$

$\frac{100}{2} V$

$∵ V = (V_{R})^{2} + (V_{L} - V_{C})^{2} = V_{R} (∵ V_{L} = V_{C})$
$V_{R} = V = 200 v o lt$

Q. An LCR series circuit is connected to an oscillator (AC supply) having RMS voltage 200V . If the RMS voltages across resistor, inductor and capacitor are equal, then RMS voltage across the resistor would be

100V

2​200V​

200V

2​100​V