Question

The current and voltage in an ac circuit are respectively given by $i = \sin 314t$and$e = 200\sin(314t + \pi/3)$ If the resistance is 100Ω, then the reactance of the circuit is

• A. $100/\sqrt{3}\Omega$
• B. $100\sqrt{3}\Omega$
• C. 200 Ω
• D. $200\sqrt{3}\Omega$

Answer 1

Answer: (B)

$100\sqrt{3}\Omega$

Answer 2

From the given equation $i_{0} = 1A$ and $V_{0} = 200volt$. Hence$Z = \frac{200}{1} = 200\Omega$ also $Z^{2} = R^{2} + X_{L}^{2}$

⇒ $(200)^{2} = (100)^{2} + X_{L}^{2}$

⇒ $X_{L} = 100\sqrt{3}\Omega.$