WBJEE · Physics · Alternating Current
For a domestic AC supply of 220 V at 50 cycles per sec, the potential difference between the terminals of a two-pin electric outlet in a room is given by
- A \(\quad V(t)=220 \sqrt{2} \operatorname{Cos}(100 \pi t)\)
- B \(\quad V(t)=220 \operatorname{Sin}(50 t)\)
- C \(\quad \mathrm{V}(\mathrm{t})=220 \operatorname{Cos}(100 \pi \mathrm{t})\)
- D \(\quad V(t)=220 \sqrt{2} \operatorname{Cos}(50 t)\)
Answer & Solution
Correct Answer
(A) \(\quad V(t)=220 \sqrt{2} \operatorname{Cos}(100 \pi t)\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } \mathrm{V}_{\mathrm{rms}}=220 \quad \therefore \mathrm{~V}_0=220 \sqrt{2} \\ & \therefore \mathrm{~V}=220 \sqrt{2} \cos 100 \pi \mathrm{t} \quad \omega=2 \pi \mathrm{f}=2 \pi \times 50=100 \pi\end{aligned}\)
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