Study the information given and answer the questions that follow.
An alternating e.m.f of 100V is applied to a circuit containing a resistance of $40\ \Omega$ and an inductance L in series. The current is found to lag behind the voltage by an angle $\alpha = \tan^{-1}(3/4)$.
(i)[1.0]
The inductive reactance in this case is:
- (a)$40\ \Omega$
- (b)$30\ \Omega$
- (c)$50\ \Omega$
- (d)$10\sqrt{5}\ \Omega$
(ii)[1.0]
The impedance of the circuit is:
- (a)$40\ \Omega$
- (b)$30\ \Omega$
- (c)$50\ \Omega$
- (d)$10\sqrt{5}\ \Omega$
(iii)[1.0]
The current flowing through the circuit is:
- (a)$2.5\text{ A}$
- (b)$3.33\text{ A}$
- (c)$2.0\text{ A}$
- (d)$2\sqrt{5}\text{ A}$
(iv)[1.0]
If the inductance has a value of 0.096 H, and $\pi = 3.14$, the approximate frequency of the applied e.m.f.
- (a)$40\text{ Hz}$
- (b)$50\text{ Hz}$
- (c)$30\text{ Hz}$
- (d)None of these
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