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An inductor of 20 mH, a capacitor of 50 μF and a resistor of 40 ohm are connected in series across a source of emf V = 10 sin 340 t. the power loss in the ac circuit is,

  • 0.67 W

  • 0.76 W

  • 0.89 W

  • 0.89 W


D.

0.89 W

Given,

Inductance, L = 20 mH
Capacitance, C = 50 
Resistance, R = 40 ohm

emf, V = 10 sin 340 t

Power loss in AC circuit will be given as,

Pav = IV2 R = 


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A small signal voltage V(t) = Vo sin ωt is applied across an ideal capacitor C:

  • over a full cycle the capacitor C does not consume any energy from the voltage source

  • current I(t) is in phase with voltage V(t)

  • Current I(t) leads voltage V(t) by 180o

  • Current I(t) leads voltage V(t) by 180o


A.

over a full cycle the capacitor C does not consume any energy from the voltage source

For an ac circuit containing capacitor only, the phase difference between current and voltage will be  (i.e., 90o).
In this case, the current is ahead of voltage by 
Therefore, power is given by,

P = VI cos 
where,  is the phase difference between voltage and current.
P = VI cos 90o = 0

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The output of a step down transformers is measured to be 48 V when connected to a 12 W bulb. The value of peak current is

  • 12 A

  • 2 A

  • 122 A

  • 14 A


C.

122 A

Given,

Output of step down transformer (Vs) = 48 V

Power associated with secondary coil (Ps) = 12 W

For secondary coil,

      Is = PsVs = 1248 = 14 = 0.25 A

Amplitude of current (I0) = Is 2                                      = 0.25 2                                      = 24                                      = 122 A


A resistance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resistance such that the impedance of the circuit becomes 'Z' the power drawn will be

  • straight P open parentheses straight R over straight Z close parentheses squared
  • straight P square root of straight R over straight Z end root
  • straight P open parentheses straight R over straight Z close parentheses
  • straight P open parentheses straight R over straight Z close parentheses

A.

straight P open parentheses straight R over straight Z close parentheses squared

when a resistor is connected to an AC source. The power drawn will be 
P=Vrms.Irms

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In the circuit shown in the figure, the AC source gives a voltage V = 20 cos (2000t). Neglecting source resistance, the voltmeter and ammeter reading will be

             

  • 1.68 V, 0.47 A

  • 0 V, 1.47 A

  • 5.6 V, 1.4 A

  • 0 V, 1.4 A


C.

5.6 V, 1.4 A

   Z = 102 + XL - XC2 XL = 2000 × 5 × 10-3 =10 ΩXC = 1ωC = 12000 × 50 × 10-6 = 10 Ω  Z = 102 + 0 = 10 Ω Reading of ammeter = VR = 2010                           imax = 2 amp                            irms = 22 = 1.41 amp                           Vrms = 4 × 1.41 = 5.64 V


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