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

Question

In an AC circuit the potential differences across an inductance and resistance joined in series are respectively 16 V and 20 V. The total potential difference of the source is (A) 20.0 V (B) 25.6 V (C) 31.9 V (D) 53.5 V

Tardigrade Admin · Accepted Answer

VL = 16 V, VR = 20 V. In the inductor the current lags by (π/2) ∴ V=√V2L+V2R=√256+400 ∴ Vtotal=25.6 V.

Q. In an $A C$ circuit the potential differences across an inductance and resistance joined in series are respectively $16 V$ and $20 V$ . The total potential difference of the source is

20.0 V

25.6 V

31.9 V

53.5 V

$V_{L} = 16 V, V_{R} = 20 V .$
In the inductor the current lags by $\frac{π}{2}$
$∴ V = V_{L}^{2} + V_{R}^{2} = 256 + 400$
$∴ V_{t o t a l} = 25.6 V .$

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