LC Oscillations
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PHXII07:ALTERNATING CURRENT

356118 In the circuit shown in the figure the rms currents \(I_{1}, I_{2}\), and \(I_{3}\) are altered by varying the frequency fof the oscillator.
The output voltage of the oscillator remains sinusoidal and has a fixed amplitude.
Which curves in figure correctly indicate the variation with frequency of the currents \(I_{1}, I_{2}\), and \(I_{3}\) ?
supporting img

1 \(Q \quad Q \quad Q\)
2 \(R \quad Q \quad Q\)
3 \(Q \quad P \quad R\)
4 \(Q \quad R \quad P\)
PHXII07:ALTERNATING CURRENT

356119 An \(LC\) circuit contains a 20 \(mH\) inductor and a \(50\mu F\) capacitor with an initial charge of 10 \(mC\). The resistance of the circuit is negligible. At the instant the circuit is closed be \(t = 0\). At what time is the energy stored completely magnetic?

1 \(t = 6.28ms\)
2 \(t = 1.54ms\)
3 \(t = 0\)
4 \(t = 3.14\,ms\)
PHXII07:ALTERNATING CURRENT

356120 The natural frequency of the circuit shown in the figure
supporting img

1 \(\frac{1}{{2\pi \sqrt {LC} }}\)
2 \(\frac{2}{{\pi \sqrt {LC} }}\)
3 \(\frac{1}{{\pi \sqrt {LC} }}\)
4 None of these
PHXII07:ALTERNATING CURRENT

356121 For high frequency \(L-C\) circuit, the maximum charge on the capacitor is \(Q\). The charge on the capacitor, when the energy is stored equally between the electric and magnetic fields is

1 \(Q / 2\)
2 \(Q / \sqrt{2}\)
3 \(Q / \sqrt{3}\)
4 \(Q / 3\)
PHXII07:ALTERNATING CURRENT

356118 In the circuit shown in the figure the rms currents \(I_{1}, I_{2}\), and \(I_{3}\) are altered by varying the frequency fof the oscillator.
The output voltage of the oscillator remains sinusoidal and has a fixed amplitude.
Which curves in figure correctly indicate the variation with frequency of the currents \(I_{1}, I_{2}\), and \(I_{3}\) ?
supporting img

1 \(Q \quad Q \quad Q\)
2 \(R \quad Q \quad Q\)
3 \(Q \quad P \quad R\)
4 \(Q \quad R \quad P\)
PHXII07:ALTERNATING CURRENT

356119 An \(LC\) circuit contains a 20 \(mH\) inductor and a \(50\mu F\) capacitor with an initial charge of 10 \(mC\). The resistance of the circuit is negligible. At the instant the circuit is closed be \(t = 0\). At what time is the energy stored completely magnetic?

1 \(t = 6.28ms\)
2 \(t = 1.54ms\)
3 \(t = 0\)
4 \(t = 3.14\,ms\)
PHXII07:ALTERNATING CURRENT

356120 The natural frequency of the circuit shown in the figure
supporting img

1 \(\frac{1}{{2\pi \sqrt {LC} }}\)
2 \(\frac{2}{{\pi \sqrt {LC} }}\)
3 \(\frac{1}{{\pi \sqrt {LC} }}\)
4 None of these
PHXII07:ALTERNATING CURRENT

356121 For high frequency \(L-C\) circuit, the maximum charge on the capacitor is \(Q\). The charge on the capacitor, when the energy is stored equally between the electric and magnetic fields is

1 \(Q / 2\)
2 \(Q / \sqrt{2}\)
3 \(Q / \sqrt{3}\)
4 \(Q / 3\)
PHXII07:ALTERNATING CURRENT

356118 In the circuit shown in the figure the rms currents \(I_{1}, I_{2}\), and \(I_{3}\) are altered by varying the frequency fof the oscillator.
The output voltage of the oscillator remains sinusoidal and has a fixed amplitude.
Which curves in figure correctly indicate the variation with frequency of the currents \(I_{1}, I_{2}\), and \(I_{3}\) ?
supporting img

1 \(Q \quad Q \quad Q\)
2 \(R \quad Q \quad Q\)
3 \(Q \quad P \quad R\)
4 \(Q \quad R \quad P\)
PHXII07:ALTERNATING CURRENT

356119 An \(LC\) circuit contains a 20 \(mH\) inductor and a \(50\mu F\) capacitor with an initial charge of 10 \(mC\). The resistance of the circuit is negligible. At the instant the circuit is closed be \(t = 0\). At what time is the energy stored completely magnetic?

1 \(t = 6.28ms\)
2 \(t = 1.54ms\)
3 \(t = 0\)
4 \(t = 3.14\,ms\)
PHXII07:ALTERNATING CURRENT

356120 The natural frequency of the circuit shown in the figure
supporting img

1 \(\frac{1}{{2\pi \sqrt {LC} }}\)
2 \(\frac{2}{{\pi \sqrt {LC} }}\)
3 \(\frac{1}{{\pi \sqrt {LC} }}\)
4 None of these
PHXII07:ALTERNATING CURRENT

356121 For high frequency \(L-C\) circuit, the maximum charge on the capacitor is \(Q\). The charge on the capacitor, when the energy is stored equally between the electric and magnetic fields is

1 \(Q / 2\)
2 \(Q / \sqrt{2}\)
3 \(Q / \sqrt{3}\)
4 \(Q / 3\)
PHXII07:ALTERNATING CURRENT

356118 In the circuit shown in the figure the rms currents \(I_{1}, I_{2}\), and \(I_{3}\) are altered by varying the frequency fof the oscillator.
The output voltage of the oscillator remains sinusoidal and has a fixed amplitude.
Which curves in figure correctly indicate the variation with frequency of the currents \(I_{1}, I_{2}\), and \(I_{3}\) ?
supporting img

1 \(Q \quad Q \quad Q\)
2 \(R \quad Q \quad Q\)
3 \(Q \quad P \quad R\)
4 \(Q \quad R \quad P\)
PHXII07:ALTERNATING CURRENT

356119 An \(LC\) circuit contains a 20 \(mH\) inductor and a \(50\mu F\) capacitor with an initial charge of 10 \(mC\). The resistance of the circuit is negligible. At the instant the circuit is closed be \(t = 0\). At what time is the energy stored completely magnetic?

1 \(t = 6.28ms\)
2 \(t = 1.54ms\)
3 \(t = 0\)
4 \(t = 3.14\,ms\)
PHXII07:ALTERNATING CURRENT

356120 The natural frequency of the circuit shown in the figure
supporting img

1 \(\frac{1}{{2\pi \sqrt {LC} }}\)
2 \(\frac{2}{{\pi \sqrt {LC} }}\)
3 \(\frac{1}{{\pi \sqrt {LC} }}\)
4 None of these
PHXII07:ALTERNATING CURRENT

356121 For high frequency \(L-C\) circuit, the maximum charge on the capacitor is \(Q\). The charge on the capacitor, when the energy is stored equally between the electric and magnetic fields is

1 \(Q / 2\)
2 \(Q / \sqrt{2}\)
3 \(Q / \sqrt{3}\)
4 \(Q / 3\)