# If a current I given by ${I}_{0}\mathrm{sin}\text{\hspace{0.17em}}\left(\omega \text{\hspace{0.17em}}t-\frac{\pi }{2}\right)$ flows in an ac circuit across which an ac potential of $E={E}_{0}\mathrm{sin}\omega \text{\hspace{0.17em}}t$ has been applied, then the power consumption P in the circuit will be  (1) $P=\frac{{E}_{0}{I}_{0}}{\sqrt{2}}$ (2) $P=\sqrt{2}{E}_{0}{I}_{0}$ (3) $P=\frac{{E}_{0}{I}_{0}}{2}$ (4) P = 0

Subtopic:  Different Types of AC Circuits |
74%
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A resistance of $$20~ \Omega$$ is connected to a source of an alternating potential, $$V=220\sin(100 \pi t).$$ The time taken by the current to change from its peak value to its rms value will be:
 1 $$0.2~\text{sec}$$ 2 $$0.25~\text{sec}$$ 3 $$25 \times10^{-3}~\text{sec}$$ 4 $$2.5 \times10^{-3}~\text{sec}$$
Subtopic:  RMS & Average Values |
65%
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An alternating current of frequency $$f$$ is flowing in a circuit containing a resistance $$R$$ and a choke $$L$$ in series. The impedance of this circuit will be:
1. $$R + 2\pi f L$$
2. $$\sqrt{R^{2} + 4 \pi^{2} f^{2} L^{2}}$$
3. $$\sqrt{R^{2} + L^{2}}$$
4. $$\sqrt{R^{2} + 2 \pi f L}$$
Subtopic:  Different Types of AC Circuits |
87%
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A resistance of $$300~\Omega$$ and an inductance of $$\frac{1}{\pi}$$ henry are connected in series to an AC voltage of $$20$$ volts and a $$200$$ Hz frequency. The phase angle between the voltage and current will be:

 1 $$\tan^{- 1} \dfrac{4}{3}$$ 2 $$\tan^{- 1} \dfrac{3}{4}$$ 3 $$\tan^{- 1} \dfrac{3}{2}$$ 4 $$\tan^{- 1} \dfrac{2}{5}$$
Subtopic:  Different Types of AC Circuits |
80%
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In a region of uniform magnetic induction B = 10–2 tesla, a circular coil of radius 30 cm and resistance π2 ohm is rotated about an axis that is perpendicular to the direction of B and which forms a diameter of the coil. If the coil rotates at 200 rpm the amplitude of the alternating current induced in the coil is :

(1) 4π2 mA

(2) 30 mA

(3) 6 mA

(4) 200 mA

Subtopic:  Different Types of AC Circuits |
56%
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In a LCR circuit having L = 8.0 henry, C = 0.5 μF and R = 100 ohm in series. The resonance frequency in radian per second is

(2) 600 Hz

(4) 500 Hz

Subtopic:  Different Types of AC Circuits |
70%
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The impedance of a circuit consists of 3 ohm resistance and 4 ohm reactance. The power factor of the circuit is :

(1) 0.4

(2) 0.6

(3) 0.8

(4) 1.0

Subtopic:  Different Types of AC Circuits |
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The power factor of a good choke coil is:

(1) Nearly zero

(2) Exactly zero

(3) Nearly one

(4) Exactly one

Subtopic:  Different Types of AC Circuits |
51%
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$$L$$, $$C$$ and $$R$$ represent physical quantities inductance, capacitance and resistance respectively. The combination representing the dimension of frequency will be:
1. $$LC$$
2. $$(LC)^{\frac{-1}{2}}$$
3. $$\left(\frac{L}{C}\right)^{\frac{-1}{2}}$$
4. $$\frac{C}{L}$$

Subtopic:  Different Types of AC Circuits |
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In an ac circuit, a resistance of $$R$$ ohm is connected in series with an inductance $$L$$. If the phase angle between voltage and current is $$45^{\circ}$$, the value of inductive reactance will be:
 1 $$\frac{R}{4}$$ 2 $$\frac{R}{2}$$ 3 $$R$$ 4 Cannot be found with the given data
Subtopic:  Different Types of AC Circuits |
80%
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