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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. \(f/4\)

2. \(8f\)

3. \(f/2\sqrt2\)

4. \(f/2\)

Subtopic: LC Oscillations (OLD NCERT) |

78%

From NCERT

AIPMT - 2006

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In an ideal parallel LC circuit, the capacitor is charged by connecting it to a dc source which is then disconnected. The current in the circuit will:

1. Become zero instantaneously.

2. Grow monotonically.

3. Decay monotonically.

4. Oscillate instantaneously.

Subtopic: LC Oscillations (OLD NCERT) |

55%

From NCERT

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The natural frequency of the circuit shown in the figure is:

1. $\frac{1}{2\mathrm{\pi}\sqrt{\mathrm{LC}}}$

2. $\frac{1}{\mathrm{\pi}\sqrt{\mathrm{LC}}}$

3. $\frac{2}{\mathrm{\pi}\sqrt{\mathrm{LC}}}$

4. None of these

Subtopic: LC Oscillations (OLD NCERT) |

83%

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In LC oscillation, what is the current in the circuit when the total energy is stored in the form of magnetic energy?

(q_{0} is the maximum charge stored by the capacitor)

$1.$ $Zero$ $$

$2.$ $\frac{{q}_{0}}{\sqrt{Lc}}$ $$

$3.$ $\frac{{q}_{0}}{LC}$ $$

$4.$ ${q}_{0}\sqrt{LC}$

Subtopic: LC Oscillations (OLD NCERT) |

64%

From NCERT

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What is the value of the power factor for a parallel LC circuit at a frequency less than the resonance frequency?

1. Zero

2. 1

3. > 1

4.< 1

Subtopic: LC Oscillations (OLD NCERT) |

52%

From NCERT

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An LC circuit contains an inductor (L=25 mH) and a capacitor (C=25 mF) with an initial charge of Q_{0}. At what time will the circuit have an equal amount of electrical and magnetic energy?

$1.$ $\frac{\mathrm{\pi}}{160}s$

$2.$ $\frac{3\mathrm{\pi}}{160}s$

$3.$ $\frac{5\mathrm{\pi}}{160}s$

4. All of these

Subtopic: LC Oscillations (OLD NCERT) |

58%

From NCERT

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In which of the following circuits can the power factor be zero?

1. LC circuit

2. LCR circuit

3. Purely resistive circuit

4. Both (1) & (2)

Subtopic: LC Oscillations (OLD NCERT) |

55%

From NCERT

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For which of the following reasons are LC oscillations not sustainable for long?

1. | Every inductor has some resistance. |

2. | The effect of resistance is to introduce a damping effect on the charge & current in the circuit and the oscillations finally die away. |

3. | Even if the resistance is zero, the total energy of the system is radiated away from the system in the form of electromagnetic radiation. |

4. | All of the above |

Subtopic: LC Oscillations (OLD NCERT) |

88%

From NCERT

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A charged 30 µF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?

1. \(1.11 \times 10^{3} \ rad/s\)

2.\(2.11 \times 10^{3} \ rad/s\)

3.\(1.11 \times 10^{2} \ rad/s\)

4.\(1.11 \times 10^{4} \ rad/s\)

Subtopic: LC Oscillations (OLD NCERT) |

64%

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An LC circuit contains a 20 mH inductor and a 50 µF capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the instant the circuit is closed be t = 0. What is the total energy stored initially?

1. 1.0 J

2. 2.0 J

3. 2.2 J

4. 3.3 J

Subtopic: LC Oscillations (OLD NCERT) |

71%

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