In a series LCR Circuit, the potential difference between the terminals of . . .

Question : In a series LCR Circuit, the potential difference between the terminals of inductor is 60 V, between the terminals of the resistor is 40 V and between the terminals of the capacitor is 30 V. the supply ac voltage will be

a) 30 V
b) 40 V
c) 50 V
d) 130 V

Doubt by Deepanshi

Solution : 

X_L=60 V

X_C= 30 V

R= 40 V

V=√[(R)²+(X_L-X_C)²]
V=√[(40)²+(60-30)²]
V=√[(40)²+(30)²]
V=√[1600+900]
V=√[2500]
V=50 V

Hence, c) 50 V, would be the correct option.