Question 376: AC fundamentals

Question

The a.c. source of e.m.f. with instantaneous value '$$e$$' is given by $$e=200 \sin (50 t)$$ volt. The r.m.s. value of current in a circuit of resistance $$50 \Omega$$ is

Accepted Answer

$$	herefore \quad$$ e.m.f e $$=200 \sin (50 \mathrm{t}) \mathrm{~V}$$ .... (i)
$$	herefore \quad$$ Current is given by:
$$\mathrm{I}_{\mathrm{o}}=\frac{\mathrm{e}_{\mathrm{o}}}{\mathrm{R}}=\frac{200}{50}=4 \mathrm{~A}$$ .... (from (i))
$$	herefore \quad$$ R.M.S value of current:
$$\mathrm{I}_{\mathrm{r} \mathrm{ms}}=\frac{\mathrm{I}_{\mathrm{o}}}{\sqrt{2}}=\frac{4}{\sqrt{2}}=2.828 \mathrm{~A}$$

Answer

0.2828 A

Answer

2.828 A

Answer

28.28 A

Answer

282.8 A

AC fundamentals

The a.c. source of e.m.f. with instantaneous value '$e' is given by e=200 \sin (50 t) volt. The r.m.s. value of current in a circuit of resistance 50 \Omega$ is

Choose the correct answer: