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

Options

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

Answer

D

Explanation

Since, resistance is half
`i. (V)/(R//2) rArr i. = 2i`
`V_(R). = i. (R)/(2) = 2ixx (R)/(2) = 2xx (V_(R))/(R) xx (R)/(2) = V_(R) = 10 ` Volt
`V_(L). = i. X_(L) = 2 V_(L) = 20` Volt
`V_(C). = i. X_(C) = 2 V_(C) = 20 ` Volt