A series $$RC$$ circuit is connected to an alternating voltage source. Consider two situations:
(1) When the capacitor is air-filled.
(2) When the capacitor is mica filled.
The current through the resistor is $$i$$ and the voltage across the capacitor is $$V$$ then:
1. $$V_a< V_b$$
2. $$V_a> V_b$$
3. $$i_a>i_b$$
4. $$V_a = V_b$$

Subtopic:  Different Types of AC Circuits |
66%
From NCERT
NEET - 2015
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A resistance $$R$$ draws power $$P$$ when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes $$Z$$, the power drawn will be:

 1 $$P\Big({\large\frac{R}{Z}}\Big)^2$$ 2 $$P\sqrt{\large\frac{R}{Z}}$$ 3 $$P\Big({\large\frac{R}{Z}}\Big)$$ 4 $$P$$
Subtopic:  Power factor |
62%
From NCERT
NEET - 2015
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A transformer has an efficiency of $$90$$% working on $$200$$ V and $$3$$ kW power supply. If the current in the secondary coil is $$6$$ A, the voltage across the secondary coil and the current in the primary coil, respectively, are:
1. $$300$$ V, $$15$$ A
2. $$450$$ V, $$15$$ A
3. $$450$$ V, $$13.5$$ A
4. $$600$$ V, $$15$$ A

Subtopic:  Transformer |
77%
From NCERT
AIPMT - 2014
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The primary of a transformer when connected to the DC battery of $$10$$ Volt draws a current of $$1~\mathrm{mA}$$. The number of turns of the primary and secondary windings are $$50$$ and $$100$$ respectively. The voltage in the secondary and the current drawn by the circuit in the secondary are respectively:
 1 $$20~\mathrm{V}$$  and $$2.0~\mathrm{mA}$$ 2 $$10~\mathrm{V}$$ and $$0.5~\mathrm{mA}$$ 3 zero and therefore no current 4 $$20~\mathrm{V}$$ and $$0.5~\mathrm{mA}$$
Subtopic:  Transformer |
From NCERT
NEET - 2013
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In an electrical circuit $$R,$$ $$L,$$ $$C$$ and an $$\mathrm{AB}$$ voltage source are all connected in series. When $$L$$ is removed from the circuit, the phase difference between the voltage and the current in the circuit is $$\tan^{-1}\sqrt{3}$$. If instead, $$C$$ is removed from the circuit, the phase difference is again $$\tan^{-1}\sqrt{3}$$. The power factor of the circuit is:

 1 $$1 / 2$$ 2 $$1 / \sqrt{2}$$ 3 $$1$$ 4 $$\sqrt{3} / 2$$

Subtopic:  Power factor |
81%
From NCERT
AIPMT - 2012
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The instantaneous values of alternating current and voltages in a circuit are given as,
$$i=\frac{1}{\sqrt{2}}\sin\left(100\pi t \right )~\text{Ampere}$$
$$e=\frac{1}{\sqrt{2}}\sin\left(100\pi t+\pi /3 \right)~\text{Volt}$$
What is the average power consumed by the circuit in watts?
 1 $$\frac{\sqrt{3}}{4}$$ 2 $$\frac{1}{2}$$ 3 $$\frac{1}{8}$$ 4 $$\frac{1}{4}$$
Subtopic:  Power factor |
74%
From NCERT
AIPMT - 2012
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In an AC circuit, an alternating voltage $$\varepsilon=200 \sqrt{2} \sin (100 t)~\text{V}$$ is connected to a capacitor of capacity $$1~\mu \text{F}.$$ The RMS value of the current in the circuit is:
 1 $$100~\text{mA}$$ 2 $$200~\text{mA}$$ 3 $$20~\text{mA}$$ 4 $$10~\text{mA}$$
Subtopic:  RMS & Average Values | Different Types of AC Circuits |
76%
From NCERT
AIPMT - 2011
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An AC voltage is applied to a resistance R and an inductor L in series. If R and the inductive reactance are both equal to 3 $\Omega$, the phase difference between the applied voltage and the current in the circuit is:

1.  $\frac{\mathrm{\pi }}{4}$

2.  $\frac{\mathrm{\pi }}{2}$

3.  zero

4.  $\frac{\mathrm{\pi }}{6}$

Subtopic:  Different Types of AC Circuits |
69%
From NCERT
AIPMT - 2011
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The rms value of the potential difference $$V$$ shown in the figure is:

 1 $$\dfrac{V_{0}}{\sqrt{3}}$$ 2 $$V_{0}$$ 3 $$\dfrac{V_{0}}{\sqrt{2}}$$ 4 $$\dfrac{V_{0}}{2}$$
Subtopic:  RMS & Average Values |
74%
From NCERT
AIPMT - 2011
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A coil has a resistance of $$30~ \text{ohm}$$ and inductive reactance of $$20 ~\text{ohm}$$ at a $$50~\text{Hz}$$ frequency. If an $$AC$$ source of $$200~\text{volts,}$$ $$100~\text{Hz}$$ is connected across the coil, the current in the coil will be:
 1 $$2.0~\text{A}$$ 2 $$4.0~\text{A}$$ 3 $$8.0~\text{A}$$ 4 $$20/\sqrt{13}~\text{A}$$
Subtopic:  Different Types of AC Circuits |
60%
From NCERT
AIPMT - 2011
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