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Question

Physics Question on Alternating current

In an AC circuit, the potential difference across an inductance and resistance joined in series are respectively 16 V and 20 V. The total potential difference across the circuit is

A

20 V

B

36 V

C

25.6 V

D

53.5 V

Answer

25.6 V

Explanation

Solution

VL=16V,VR=20VV_L = 16\, V, V_R = 20\, V
V=VR2+VL2=202+162=25.6V\therefore \:\:\:\: V =\sqrt{V_R^2 + V_L^2} = \sqrt{20^2 + 16^2} = 25.6 \,V