| Direction: Q.21 to Q.25 |
| When a pure resistance R, pure inductor L and an ideal capacitor of capacitance C is connected in series to a source of alternating e.m.f., then current at any instant through the three elements has the same amplitude and is represented as \[I={{I}_{0}}\sin \,\omega t\]. However, voltage across each element has a different phase relationship with the current as shown in graph. |
| The effective resistance of RLC circuit is called impedance (Z) of the circuit and the voltage leads the current by a phase angle \[\phi \]. |
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| A resistor of \[12\text{ }\Omega \], a capacitor of reactance \[14\text{ }\Omega \] and a pure inductor of inductance 0.1 H are joined in series and placed across 200 V, 50 Hz AC supply. |
| Based on the above information, answer the following questions. |
A) \[15\,\Omega \]
B) \[31.4\,\Omega \]
C) \[20\,\Omega \]
D) \[30\,\Omega \]
Correct Answer: B
Solution :
(b) \[31.4\,\Omega \] Given: \[R=12\,\Omega ,{{X}_{C}}=14\,\Omega ,L=0.1\,H\] \[{{X}_{L}}=\omega L=2\pi vl\] \[=2\times 3.14\times 50\times 0.1=31.4\,\Omega \]
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