In a `LCR` circuit the `P.D` between the terminals of the inductance is `60V`, between the terminals of the capacitor is `30V` and that between the terminals of resistance is `40V`. The supply voltage will be equal to......

Options

A. 50 V
B. 70 V
C. 130 V
D. 10 V

Answer

A

Explanation

Given `V_(L) = 60 V , V_(C) = 30 V , V_(R) = 40 V `
`V = sqrt(V_(R)^(2) + (V_(L) - V_(C))^(2))`
`= sqrt((40) ^(2) + (60 - 30) ^(2) ) = 50 V `