LC Oscillations
PHXII07:ALTERNATING CURRENT

356109 In \(L C\) parallel resonance circuit, choose the wrong statement.

1 At resonance, current is minimum.
2 At resonance, impedance is maximum.
3 Resonance occurs when inductive and capcitive reactance is same.
4 At resonance, resonate frequency \(=\sqrt{L C}\).
PHXII07:ALTERNATING CURRENT

356110 A fully charged capacitor \(C\) with initial charge \({q_0}\) is connected to a coil of self inductance \(L\) at \(t = 0\).The time at which the energy is stored equally between the electric and the magnetic fields is

1 \(\frac{\pi }{4}\sqrt {LC} \)
2 \(\sqrt {LC} \)
3 \(2\pi \sqrt {LC} \)
4 \(\pi \sqrt {LC} \)
PHXII07:ALTERNATING CURRENT

356111 A circuit has a self inductance of \(1H\) and carries a current of \(2\;A\). To prevent sparking, when the circuit is switched off, a capacitor which can withstand \(400\;V\) is used. The least capacitance of capacitor connected across the switch must be equal to

1 \(50\,\mu F\)
2 \(25\,\mu F\)
3 \(100\,\mu F\)
4 \(12.5\,\mu F\)
PHXII07:ALTERNATING CURRENT

356112 In an \(L\)-\(C\) circuit, the capacitor has maximum charge \({q_0}\). The value of \({\left. {\frac{{di}}{{dt}}} \right|_{\max }}\) is:

1 \(\frac{{{q_0}}}{{LC}} - 1\)
2 \(\frac{{{q_0}}}{{\sqrt {LC} }}\)
3 \(\frac{{{q_0}}}{{LC}}\)
4 \(None\,\,of\,\,these\)
PHXII07:ALTERNATING CURRENT

356113 A radio can tune over the frequency range of a portion of MW broadcast bond; (800 \(kHz\) to 1200 \(kHz\)). If its \(LC\) circuit has an effective inductance of \(220\,\mu H\), what must be the range of its variable capacitor?
[Hint: For tuning the natural frequency i.e, the frequency of free oscillations of the \(LC\) circuit should be equal to the frequency of the radiowave.]

1 \(44\,{\mathop{\rm to}\nolimits} \,208\,{\mathop{\rm pF}\nolimits} \)
2 \(63\,{\mathop{\rm to}\nolimits} \,168\,{\mathop{\rm pF}\nolimits} \)
3 \(87.8\,{\mathop{\rm to}\nolimits} \,198\,{\mathop{\rm pF}\nolimits} \)
4 \(99\,{\mathop{\rm to}\nolimits} \,190\,{\mathop{\rm pF}\nolimits} \)
PHXII07:ALTERNATING CURRENT

356109 In \(L C\) parallel resonance circuit, choose the wrong statement.

1 At resonance, current is minimum.
2 At resonance, impedance is maximum.
3 Resonance occurs when inductive and capcitive reactance is same.
4 At resonance, resonate frequency \(=\sqrt{L C}\).
PHXII07:ALTERNATING CURRENT

356110 A fully charged capacitor \(C\) with initial charge \({q_0}\) is connected to a coil of self inductance \(L\) at \(t = 0\).The time at which the energy is stored equally between the electric and the magnetic fields is

1 \(\frac{\pi }{4}\sqrt {LC} \)
2 \(\sqrt {LC} \)
3 \(2\pi \sqrt {LC} \)
4 \(\pi \sqrt {LC} \)
PHXII07:ALTERNATING CURRENT

356111 A circuit has a self inductance of \(1H\) and carries a current of \(2\;A\). To prevent sparking, when the circuit is switched off, a capacitor which can withstand \(400\;V\) is used. The least capacitance of capacitor connected across the switch must be equal to

1 \(50\,\mu F\)
2 \(25\,\mu F\)
3 \(100\,\mu F\)
4 \(12.5\,\mu F\)
PHXII07:ALTERNATING CURRENT

356112 In an \(L\)-\(C\) circuit, the capacitor has maximum charge \({q_0}\). The value of \({\left. {\frac{{di}}{{dt}}} \right|_{\max }}\) is:

1 \(\frac{{{q_0}}}{{LC}} - 1\)
2 \(\frac{{{q_0}}}{{\sqrt {LC} }}\)
3 \(\frac{{{q_0}}}{{LC}}\)
4 \(None\,\,of\,\,these\)
PHXII07:ALTERNATING CURRENT

356113 A radio can tune over the frequency range of a portion of MW broadcast bond; (800 \(kHz\) to 1200 \(kHz\)). If its \(LC\) circuit has an effective inductance of \(220\,\mu H\), what must be the range of its variable capacitor?
[Hint: For tuning the natural frequency i.e, the frequency of free oscillations of the \(LC\) circuit should be equal to the frequency of the radiowave.]

1 \(44\,{\mathop{\rm to}\nolimits} \,208\,{\mathop{\rm pF}\nolimits} \)
2 \(63\,{\mathop{\rm to}\nolimits} \,168\,{\mathop{\rm pF}\nolimits} \)
3 \(87.8\,{\mathop{\rm to}\nolimits} \,198\,{\mathop{\rm pF}\nolimits} \)
4 \(99\,{\mathop{\rm to}\nolimits} \,190\,{\mathop{\rm pF}\nolimits} \)
PHXII07:ALTERNATING CURRENT

356109 In \(L C\) parallel resonance circuit, choose the wrong statement.

1 At resonance, current is minimum.
2 At resonance, impedance is maximum.
3 Resonance occurs when inductive and capcitive reactance is same.
4 At resonance, resonate frequency \(=\sqrt{L C}\).
PHXII07:ALTERNATING CURRENT

356110 A fully charged capacitor \(C\) with initial charge \({q_0}\) is connected to a coil of self inductance \(L\) at \(t = 0\).The time at which the energy is stored equally between the electric and the magnetic fields is

1 \(\frac{\pi }{4}\sqrt {LC} \)
2 \(\sqrt {LC} \)
3 \(2\pi \sqrt {LC} \)
4 \(\pi \sqrt {LC} \)
PHXII07:ALTERNATING CURRENT

356111 A circuit has a self inductance of \(1H\) and carries a current of \(2\;A\). To prevent sparking, when the circuit is switched off, a capacitor which can withstand \(400\;V\) is used. The least capacitance of capacitor connected across the switch must be equal to

1 \(50\,\mu F\)
2 \(25\,\mu F\)
3 \(100\,\mu F\)
4 \(12.5\,\mu F\)
PHXII07:ALTERNATING CURRENT

356112 In an \(L\)-\(C\) circuit, the capacitor has maximum charge \({q_0}\). The value of \({\left. {\frac{{di}}{{dt}}} \right|_{\max }}\) is:

1 \(\frac{{{q_0}}}{{LC}} - 1\)
2 \(\frac{{{q_0}}}{{\sqrt {LC} }}\)
3 \(\frac{{{q_0}}}{{LC}}\)
4 \(None\,\,of\,\,these\)
PHXII07:ALTERNATING CURRENT

356113 A radio can tune over the frequency range of a portion of MW broadcast bond; (800 \(kHz\) to 1200 \(kHz\)). If its \(LC\) circuit has an effective inductance of \(220\,\mu H\), what must be the range of its variable capacitor?
[Hint: For tuning the natural frequency i.e, the frequency of free oscillations of the \(LC\) circuit should be equal to the frequency of the radiowave.]

1 \(44\,{\mathop{\rm to}\nolimits} \,208\,{\mathop{\rm pF}\nolimits} \)
2 \(63\,{\mathop{\rm to}\nolimits} \,168\,{\mathop{\rm pF}\nolimits} \)
3 \(87.8\,{\mathop{\rm to}\nolimits} \,198\,{\mathop{\rm pF}\nolimits} \)
4 \(99\,{\mathop{\rm to}\nolimits} \,190\,{\mathop{\rm pF}\nolimits} \)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII07:ALTERNATING CURRENT

356109 In \(L C\) parallel resonance circuit, choose the wrong statement.

1 At resonance, current is minimum.
2 At resonance, impedance is maximum.
3 Resonance occurs when inductive and capcitive reactance is same.
4 At resonance, resonate frequency \(=\sqrt{L C}\).
PHXII07:ALTERNATING CURRENT

356110 A fully charged capacitor \(C\) with initial charge \({q_0}\) is connected to a coil of self inductance \(L\) at \(t = 0\).The time at which the energy is stored equally between the electric and the magnetic fields is

1 \(\frac{\pi }{4}\sqrt {LC} \)
2 \(\sqrt {LC} \)
3 \(2\pi \sqrt {LC} \)
4 \(\pi \sqrt {LC} \)
PHXII07:ALTERNATING CURRENT

356111 A circuit has a self inductance of \(1H\) and carries a current of \(2\;A\). To prevent sparking, when the circuit is switched off, a capacitor which can withstand \(400\;V\) is used. The least capacitance of capacitor connected across the switch must be equal to

1 \(50\,\mu F\)
2 \(25\,\mu F\)
3 \(100\,\mu F\)
4 \(12.5\,\mu F\)
PHXII07:ALTERNATING CURRENT

356112 In an \(L\)-\(C\) circuit, the capacitor has maximum charge \({q_0}\). The value of \({\left. {\frac{{di}}{{dt}}} \right|_{\max }}\) is:

1 \(\frac{{{q_0}}}{{LC}} - 1\)
2 \(\frac{{{q_0}}}{{\sqrt {LC} }}\)
3 \(\frac{{{q_0}}}{{LC}}\)
4 \(None\,\,of\,\,these\)
PHXII07:ALTERNATING CURRENT

356113 A radio can tune over the frequency range of a portion of MW broadcast bond; (800 \(kHz\) to 1200 \(kHz\)). If its \(LC\) circuit has an effective inductance of \(220\,\mu H\), what must be the range of its variable capacitor?
[Hint: For tuning the natural frequency i.e, the frequency of free oscillations of the \(LC\) circuit should be equal to the frequency of the radiowave.]

1 \(44\,{\mathop{\rm to}\nolimits} \,208\,{\mathop{\rm pF}\nolimits} \)
2 \(63\,{\mathop{\rm to}\nolimits} \,168\,{\mathop{\rm pF}\nolimits} \)
3 \(87.8\,{\mathop{\rm to}\nolimits} \,198\,{\mathop{\rm pF}\nolimits} \)
4 \(99\,{\mathop{\rm to}\nolimits} \,190\,{\mathop{\rm pF}\nolimits} \)
PHXII07:ALTERNATING CURRENT

356109 In \(L C\) parallel resonance circuit, choose the wrong statement.

1 At resonance, current is minimum.
2 At resonance, impedance is maximum.
3 Resonance occurs when inductive and capcitive reactance is same.
4 At resonance, resonate frequency \(=\sqrt{L C}\).
PHXII07:ALTERNATING CURRENT

356110 A fully charged capacitor \(C\) with initial charge \({q_0}\) is connected to a coil of self inductance \(L\) at \(t = 0\).The time at which the energy is stored equally between the electric and the magnetic fields is

1 \(\frac{\pi }{4}\sqrt {LC} \)
2 \(\sqrt {LC} \)
3 \(2\pi \sqrt {LC} \)
4 \(\pi \sqrt {LC} \)
PHXII07:ALTERNATING CURRENT

356111 A circuit has a self inductance of \(1H\) and carries a current of \(2\;A\). To prevent sparking, when the circuit is switched off, a capacitor which can withstand \(400\;V\) is used. The least capacitance of capacitor connected across the switch must be equal to

1 \(50\,\mu F\)
2 \(25\,\mu F\)
3 \(100\,\mu F\)
4 \(12.5\,\mu F\)
PHXII07:ALTERNATING CURRENT

356112 In an \(L\)-\(C\) circuit, the capacitor has maximum charge \({q_0}\). The value of \({\left. {\frac{{di}}{{dt}}} \right|_{\max }}\) is:

1 \(\frac{{{q_0}}}{{LC}} - 1\)
2 \(\frac{{{q_0}}}{{\sqrt {LC} }}\)
3 \(\frac{{{q_0}}}{{LC}}\)
4 \(None\,\,of\,\,these\)
PHXII07:ALTERNATING CURRENT

356113 A radio can tune over the frequency range of a portion of MW broadcast bond; (800 \(kHz\) to 1200 \(kHz\)). If its \(LC\) circuit has an effective inductance of \(220\,\mu H\), what must be the range of its variable capacitor?
[Hint: For tuning the natural frequency i.e, the frequency of free oscillations of the \(LC\) circuit should be equal to the frequency of the radiowave.]

1 \(44\,{\mathop{\rm to}\nolimits} \,208\,{\mathop{\rm pF}\nolimits} \)
2 \(63\,{\mathop{\rm to}\nolimits} \,168\,{\mathop{\rm pF}\nolimits} \)
3 \(87.8\,{\mathop{\rm to}\nolimits} \,198\,{\mathop{\rm pF}\nolimits} \)
4 \(99\,{\mathop{\rm to}\nolimits} \,190\,{\mathop{\rm pF}\nolimits} \)