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 Multiple Choice QuestionsMultiple Choice Questions

111.

For the circuit shown in figure, the voltage across 4 Ω resistance is

     

  • 1 V

  • 2 V

  • 4 V

  • 5 V


112.

A LED has a voltage drop of 2V across it and passes a current of 10 mA. When it operates with a 6V battery through a limiting resistor R. The value of R is

  • 40 kΩ

  • 200 Ω

  • 4 kΩ

  • 400 Ω


113.

A series R-L-C circuit driven with Erms = 100V and frequency fd = 50 Hz is shown below.

What new capacitance should be connected to maximize the average power, if other parameters of the circuit are not changed ?

  • 41.6 µF

  • 33.5 µF

  • 39.8 µF

  • 31.3 µF


114.

An L-C-R series circuit with 100 Ω resistance is connected to an AC source of 200 V and angular frequency 300 rad s-1 . When only the capacitance is removed, the current lags behind the voltage by 60°. When only the inductance is removed, the current leads the voltage by 60°. The average power dissipated in this L-C-R circuit is

  • 0

  • 400 W

  • 200 W

  • 800 W


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115.

Given,

R1 = 10 Ω, C1 = 2µF, R2 = 20 and C2 =  4F

The time constants (in µs) for the circuits I, II, III are respectively.

  • 18, 18/9, 4

  • 4, 8/9, 18

  • 18, 4, 8/9

  • 8/9, 18, 4


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116.

In the given circuit, the AC source has ω = 100 rad/s, considering the inductor and capacitor to be ideal,

    

  • the current through the circuit  is 0.4 A

  • the current through the circuit is 0.32 A

  • the voltage across 100 Ω  resistor is 102 V

  • the voltage across 50 Ω resistor is 10 V


C.

the voltage across 100 Ω  resistor is 102 V

In R-C circuit

Z = R2 + Xc2   = 1002 + 1100 × 100 × 10-62    = 1002 + 1002   = 1002 ΩCurrent in this branch, i1 = 201002 = 152 ACurrent leads voltage  tan ϕ = XCR = 1 by π4In R-L circuit,   Z = R2 + XL2      = 502 + 100 × 52      = 502 ΩCurrent in this branch, i2 = 20502 = 252 A


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117.

The impedence of a circuit, when a resistance R and an inductor of inductance L are connected in series in an AC circuit of frequency f, is

  • R + 2π2 f2 L2

  • R + 4π2 f2 L2

  • R2 + 4π2 f2 L2

  • R2 + 2π2 f2 L2


118.

In a series LCR circuit, resistance R = 10 Ω and the impedance Z = 10 Ω. The phase difference between the current and the voltage is

  • 30°

  • 45°

  • 60°


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119.

A circuit consists of an inductance of 0.5 mH and a capacitor of 20 µF. The frequency of the LC oscillations is approximately

  • 400 Hz

  • 88 Hz

  • 1600 Hz

  • 2400 Hz


120.

The maximum value of AC voltage in a circuit is 707 V. Its rms value is

  • 70.7 V

  • 100 V

  • 500 V

  • 707 V


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