The instantaneous values of current and voltage in an ac circuit are I -100 sin 314 t A and E -200 sin314 t -3 V respectively- If the resistance is 1 W then the reactance of the circuit will beA- -200 -3-B- -3 -C- -200 - -3-D- 100 -3-

The correct option is B √3ΩV_0=i_oZ⇒ 200=100 Z⇒ Z=2Ω Also Z^2=R^2+X_L^2⇒ (2)^2=(1)^2+X_L^2⇒ X_L=√(3)Ω ...

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The instantan...

Question

The instantaneous values of current and voltage in an ac circuit are $I = 100 s i n (314) t$ A and $E = 200 s i n (314 t + \frac{π}{3}) V$ respectively. If the resistance is 1W then the reactance of the circuit will be

-200√3Ω

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√3Ω

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-200 / √3Ω

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100√3Ω

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i = 100 sin 314 t

e = 200 sin (314 t + \frac{π}{3}) V

1 Ω

I = 100 s i n (314) t

E = 200 s i n (314 t + \frac{π}{3}) V

E = 1.414 s i n (100 π t - \frac{π}{4})

I = 0.707 s i n (100 π t)

e = 200 sin 314 t

I = sin (314 t + \frac{π}{3})

I = \frac{1}{\sqrt{2}} s i n

E = \sqrt{2} s i n (314 t - \frac{Π}{6})

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