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 |
 57%
From NCERT
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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 

(1) 600 radian/second

(2) 600 Hz

(3) 500 radian/second

(4) 500 Hz

Subtopic:  Different Types of AC Circuits |
 70%
From NCERT
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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 |
 70%
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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 |
 52%
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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 |
 85%
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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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The phase difference between the current and voltage of LCR circuit in series combination at resonance is 

(1) 0

(2) π/2

(3) π

(4) –π

Subtopic:  LC Oscillations (OLD NCERT) |
 74%
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In a series resonant circuit, the ac voltage across resistance R, inductance L and capacitance C are 5 V, 10 V and 10 V respectively. The ac voltage applied to the circuit will be 

(1) 20 V

(2) 10 V

(3) 5 V

(4) 25 V

Subtopic:  LC Oscillations (OLD NCERT) |
 88%
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In a series LCR circuit, resistance R = 10Ω and the impedance Z = 20Ω. The phase difference between the current and the voltage is 

(1) 30°

(2) 45°

(3) 60°

(4) 90°

Subtopic:  Different Types of AC Circuits |
 82%
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