An LCR series AC circuit is at resonance with 10 V each across L, C and R. If the resistance is halved, the respective voltages across L, C and R are

Question

An LCR series AC circuit is at resonance with 10 V each across L, C and R. If the resistance is halved, the respective voltages across L, C and R are (A) 10 V, 10 V and 5 V (B) 10 V, 10 V and 10 V (C) 20 V, 20 V and 5 V (D) 20 V, 20 V and 10 V

Tardigrade Admin · Accepted Answer

When resistance is halved current will be doubled VR=2i× (R/2)=10 V VL=2i× XL=2× 10=20 V VC=2i× XC=2× 10=20 V

Q. An $L CR$ series $A C$ circuit is at resonance with $10 V$ each across $L, C$ and $R$ . If the resistance is halved, the respective voltages across $L, C$ and $R$ are

$10 V, 10 V$ and $5 V$

$10 V, 10 V$ and $10 V$

$20 V, 20 V$ and $5 V$

$20 V$ , $20 V$ and $10 V$

$5 V$ , $5 V$ and $5 V$

When resistance is halved current will be doubled
$V_{R} = 2 i \times \frac{R}{2} = 10 V$
$V_{L} = 2 i \times X_{L} = 2 \times 10 = 20 V$
$V_{C} = 2 i \times X_{C} = 2 \times 10 = 20 V$

Q. An LCR series AC circuit is at resonance with 10V each across L,C and R. If the resistance is halved, the respective voltages across L,C and R are

10V,10V and 5V

10V,10V and 10V

20V,20V and 5V

20V, 20V and 10V

5V, 5V and 5V

When resistance is halved current will be doubled VR​=2i×2R​=10V VL​=2i×XL​=2×10=20V VC​=2i×XC​=2×10=20V