Physics-
General
Easy

Question

An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to Q subscript 0 end subscript and then connected to the L and R as shown below :

If a student plots graphs of the square of maximum charge open parentheses Q subscript M a x end subscript superscript 2 end superscript close parentheses on the capacitor with time (T) for two different values L subscript 1 end subscript and L subscript 2 end subscript open parentheses L subscript 1 end subscript greater than L subscript 2 end subscript close parentheses of L then which of the following represents this graph correctly ? (Plots are shematic and not drawn to scale)

  1.    
  2.    
  3.    
  4.    

The correct answer is:

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General
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In the LCR circuit shown in figure unknown resistance and alternating voltage source are connected. When switch 'S' is closed then there is a phase difference of fraction numerator pi over denominator 4 end fraction between current and applied voltage and voltage across resister is fraction numerator 100 over denominator square root of 2 end fraction V When switch is open current and applied voltage are in same phase. Neglecting resistance of connecting wire answer the following questions :

Peak voltage of applied voltage sources is :

In the LCR circuit shown in figure unknown resistance and alternating voltage source are connected. When switch 'S' is closed then there is a phase difference of fraction numerator pi over denominator 4 end fraction between current and applied voltage and voltage across resister is fraction numerator 100 over denominator square root of 2 end fraction V When switch is open current and applied voltage are in same phase. Neglecting resistance of connecting wire answer the following questions :

Peak voltage of applied voltage sources is :

physics-General
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A voltage source V = V subscript 0 end subscript sin (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series

At steady state. the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope, as shown

If AC source is removed, the circuit is shorted for some time so that capacitor is fully discharged and then a battery of constant EMF is connected across the black box, at t = 0. The current in the circuit will –

A voltage source V = V subscript 0 end subscript sin (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series

At steady state. the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope, as shown

If AC source is removed, the circuit is shorted for some time so that capacitor is fully discharged and then a battery of constant EMF is connected across the black box, at t = 0. The current in the circuit will –

physics-General
General
physics-

A voltage source V = V subscript 0 end subscript sin (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series

At steady state. the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope, as shown

Values of the parameters of the elements, present in the black box are –

A voltage source V = V subscript 0 end subscript sin (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series

At steady state. the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope, as shown

Values of the parameters of the elements, present in the black box are –

physics-General
parallel
General
physics-

A voltage source V = V subscript 0 end subscript sin (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series

At steady state. the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope, as shown

The element(s) present in black box is/are :

A voltage source V = V subscript 0 end subscript sin (100 t) is connected to a black box in which there can be either one element out of L, C, R or any two of them connected in series

At steady state. the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope, as shown

The element(s) present in black box is/are :

physics-General
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physics-

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

Thermal energy produced by the resistance R in time duration 1 mus, using the source at resonant condition, is

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

Thermal energy produced by the resistance R in time duration 1 mus, using the source at resonant condition, is

physics-General
General
physics-

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

Average energy stored by the inductor L subscript 2 end subscript (Source is at resonance frequency) is equal to

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

Average energy stored by the inductor L subscript 2 end subscript (Source is at resonance frequency) is equal to

physics-General
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General
physics-

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

If the ac source G is of 100 V rating at resonant frequency of the circuit, then average power supplied by the source is –

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

If the ac source G is of 100 V rating at resonant frequency of the circuit, then average power supplied by the source is –

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An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

To increase resonant frequency of the circuit, some of the changes in the circuit are carried out. Which change(s) would certainly result in the increase in resonant frequency ?

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

To increase resonant frequency of the circuit, some of the changes in the circuit are carried out. Which change(s) would certainly result in the increase in resonant frequency ?

physics-General
General
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An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

Current drawn from the ac source will be maximum if its angular frequency is –

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown.

Current drawn from the ac source will be maximum if its angular frequency is –

physics-General
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General
physics-

Statement-1 : In a series R,L,C circuit if V subscript R end subscript, V subscript L end subscript , and V subscript C end subscript denote rms voltage across R, L and C repectively and V subscript S end subscript is the rms voltage across the source, then V subscript S end subscript equals V subscript R end subscript plus V subscript L end subscript plus V subscript C end subscript.

Statement-2 : In AC circuits, kirch off voltage law is correct at every instant of time.

Statement-1 : In a series R,L,C circuit if V subscript R end subscript, V subscript L end subscript , and V subscript C end subscript denote rms voltage across R, L and C repectively and V subscript S end subscript is the rms voltage across the source, then V subscript S end subscript equals V subscript R end subscript plus V subscript L end subscript plus V subscript C end subscript.

Statement-2 : In AC circuits, kirch off voltage law is correct at every instant of time.

physics-General
General
physics-

In the AC circuit shown below, the supply voltage has constant rms value V but variable frequency f. At resonance, the circuit :

In the AC circuit shown below, the supply voltage has constant rms value V but variable frequency f. At resonance, the circuit :

physics-General
General
physics-

In the circuit shown in figure, if both the bulbs B subscript 1 end subscript and B subscript 2 end subscript are identical :

In the circuit shown in figure, if both the bulbs B subscript 1 end subscript and B subscript 2 end subscript are identical :

physics-General
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General
physics-

A resistor R, an inductor L, a capacitor C and voltmeters V subscript 1 end subscript, V subscript 2 end subscript and V subscript 3 end subscript are connected to an oscillator in the circuit as shown in the adjoining diagram. When the frequency of the oscillator is increased, up to resonance frequency, the voltmeter reading (at resonance frequency) is zero in the case of :

A resistor R, an inductor L, a capacitor C and voltmeters V subscript 1 end subscript, V subscript 2 end subscript and V subscript 3 end subscript are connected to an oscillator in the circuit as shown in the adjoining diagram. When the frequency of the oscillator is increased, up to resonance frequency, the voltmeter reading (at resonance frequency) is zero in the case of :

physics-General
General
physics-

In the series LCR circuit as shown in figure, the voltmeter and ammeter readings are :

In the series LCR circuit as shown in figure, the voltmeter and ammeter readings are :

physics-General
General
physics-

A time varying voltage V = 2t volt is applied across an ideal inductor of inductance L = 2H as shown in figure. Then select incorrect statement

A time varying voltage V = 2t volt is applied across an ideal inductor of inductance L = 2H as shown in figure. Then select incorrect statement

physics-General
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