Q105 / 120 · VITEEE 2012 · Physics
In an $\mathrm{AC}$ circuit, the potential across an inductance and resistance joined in series are respectively $16 \mathrm{~V}$ and $20 \mathrm{~V}$. The total potential difference across the circuit is
- A$20.0 \mathrm{~V}$
- Correct answerB$25.6 \mathrm{~V}$
- C$31.9 \mathrm{~V}$
- D$33.6 \mathrm{~V}$
Solution
Voltage
$$
\begin{array}{l}
\mathrm{V}=\sqrt{\mathrm{V}_{\mathrm{R}}^{2}+\mathrm{V}_{\mathrm{C}}^{2}}=\sqrt{(20)^{2}+(16)^{2}} \\
=25.6 \mathrm{~V}
\end{array}
$$
Hence, the correct answer is option: 'B'.