In a LCR series circuit, the potential difference between the terminals of the inductance is 60 V, between the terminals of the capacitor is 30 V nd that across the resistance is 40 V. Then, then supply voltage will be equal to

Options

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

Answer

A

Explanation

In LCR series circuit,
`V=sqrt(V_(R )^(2)+(V_(L)-V_(C ))^(2))=sqrt((40)^(2)+(60-30)^(2))`
`= sqrt((40)^(2)+(30)^(2))=sqrt(1600+900)=50 V`.