# An AC ammeter is used to measure the current in a circuit. When a given direct current passes through the circuit, the AC ammeter reads $$6$$ A. When another alternating current passes through the circuit, the AC ammeter reads $$8$$ A. Then the reading of this ammeter if DC and AC flow through the circuit simultaneously is: 1. $$10 \sqrt{2}$$ A 2. $$14$$ A 3. $$10$$ A 4. $$15$$ A

Subtopic:  AC vs DC |
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If $$q$$ is the capacitor's charge and $$i$$ is the current at time $$t$$, the voltage $$V$$ will be:

 1 $$L \frac{di}{dt}+{iR}-\frac{q}{C}=V$$ 2 $$L \frac{di}{dt}-{iR}+\frac{q}{C}=V$$ 3 $$L \frac{di}{dt}+{iR}+\frac{q}{C}=V$$ 4 $$L\frac{di}{dt}-{iR}-\frac{q}{C}=V$$
Subtopic:  Different Types of AC Circuits |
54%
From NCERT
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A direct current of $$5~ A$$ is superimposed on an alternating current $$I=10sin ~\omega t$$ flowing through a wire. The effective value of the resulting current will be:

 1 $$15/2~A$$ 2 $$5 \sqrt{3}~A$$ 3 $$5 \sqrt{5}~A$$ 4 $$15~A$$
Subtopic:  AC vs DC |
60%
From NCERT
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An $$LCR$$ series circuit with $$100~\Omega$$ resistance is connected to an AC source of $$200$$ V and an angular frequency of $$300$$ rad/s. When only the capacitance is removed, the current lags behind the voltage by $$60^{\circ}.$$ When only the inductance is removed, the current leads the voltage by $$60^{\circ}.$$ Calculate the power dissipated in the $$LCR$$ circuit.
1. $$200$$ W
2. $$400$$ W
3. $$300$$ W
4. zero

Subtopic:  Power factor |
64%
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An ideal resistance $$R$$, ideal inductance $$L$$, ideal capacitance $$C$$, and AC voltmeters ${\mathrm{}}_{}$$$V_1, V_2, V_3~\text{and}~V_4$$ are connected to an AC source as shown. At resonance:

 1 Reading in $$V_3$$ = Reading in $$V_1$$ 2 Reading in $$V_1$$ = Reading in $$V_2$$ 3 Reading in $$V_2$$ = Reading in $$V_4$$ 4 Reading in $$V_2$$ = Reading in $$V_3$$
Subtopic:  Different Types of AC Circuits |
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A transistor-oscillator using a resonant circuit with an inductance $$L$$ (of negligible resistance) and a capacitance $$C$$ has a frequency $$f$$. If $$L$$ is doubled and $$C$$ is changed to $$4C$$, the frequency will be:
1. $$\frac{f}{4}$$
2. $$8f$$
3. $$\frac{f}{2\sqrt{2}}$$
4. $$\frac{f}{2}$$

Subtopic:  Different Types of AC Circuits |
86%
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AIPMT - 2006
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In an $$LCR$$ series AC circuit, the voltage across each of the components $$L, C$$ and $$R$$ is $$50$$ V. The voltage across the $$LR$$ combination will be:
1. $$50$$ V
2. $$50 \sqrt{2} ~\text{V}$$
3. $$100$$ V
4. $$0$$

Subtopic:  Different Types of AC Circuits |
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The AC source in the circuit shown in the figure produces a voltage $$V = 20\cos(2000t)$$ volts. Neglecting source resistance, the voltmeter and ammeter readings will be (approximately):

1. $$4~\text{V}, 2.0~\text{A}$$
2. $$0~\text{V}, 2~\text{A}$$
3. $$5.6~\text{V}, 1.4~\text{A}$$
4. $$8~\text{V}, 2.0~\text{A}$$

Subtopic:  Different Types of AC Circuits |
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In the circuit shown, the AC source has a voltage
$$V= 20\cos(\omega t)$$ volts with $$\omega = 2000$$ rad/s. The amplitude of the current will be nearest to:

1. $$2$$ A
2. $$3.3$$ A
3. $$\frac{2}{\sqrt{5}}$$ A
4. $$\sqrt{5}$$ A

Subtopic:  Different Types of AC Circuits |
56%
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In a heating arrangement, an alternating current having a peak value of $$28~\text{A}$$ is used. To produce the same heat energy, if direct current is used to produce the same amount of heat, then its magnitude will be:
 1 about $$14~\text{A}$$ 2 about $$28~\text{A}$$ 3 about $$20~\text{A}$$ 4 cannot say
Subtopic:  AC vs DC |
56%
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