Alternating Current

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Question
CBSEENPH12039990

A 220 V input is supplied to a transformer. The output circuit draws a current 2.0 A at 440 V. If the efficiency of the transformer is 80%, the current drawn by the primary windings of the transformer is 

  • 3.6 A

  • 2.8 A

  • 2.5 A

  • 5.0 A

Solution

D.

5.0 A

Efficiency is defined as the ratio of output power and input power
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Question
CBSEENPH12040074

A charged particle (charge q ) is moving n a circle of radius R with uniform speed v. The associated magnetic moment μ is given by:

  • qvR/2

  • qVR2

  • qVR2/2

  • qvR

Solution

A.

qvR/2

As revolving charge is equivalent to a current so
I = qf = q x ω/ 2π
But ω = v/R
Where R is radius of circle and v is uniform speed of charged particle, therefore,
I= qv/2πR
Now, magnetic moment associated with charged particle is given by 
μ = IA  = I x πR2
μ = qv/2 πR2
 = qvR/2


Question
CBSEENPH12040097

A coil of inductive reactance 31 Ω has a resistance of 8Ω. It is placed in series with a condenser of capacitative reactance 25Ω. The combination is connected to an a.c. soruce of 110 V. The power factor of the circuit is

  • 0.56

  • 0.64

  • 0.80

  • 0.33

Solution

C.

0.80

Power factor left parenthesis cos space straight ϕ right parenthesis is the ratio of resistance and impedance of a.c. circuit.
Power factor of a.c. circuit is given by
                             cos space straight ϕ space equals space straight R over straight Z                           ...(i)
where R is resistance employed and z the impedance of the circuit.
                                   straight Z equals space square root of straight R squared plus left parenthesis straight X subscript straight L minus straight X subscript straight C superscript 2 right parenthesis end root           ...(ii)
Eqs. (i) and (ii) meet to give,
                   cos space straight ϕ space equals space fraction numerator straight R over denominator square root of straight R squared plus left parenthesis straight X subscript straight L minus straight X subscript straight C right parenthesis squared end root end fraction                 ...(iii)
Given,       straight R space equals 8 straight capital omega comma space space straight X subscript straight L space equals space 31 straight capital omega comma space space straight X subscript straight C space equals space 25 straight capital omega
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Question
CBSEENPH12040083

A common emitter amplifier has a voltage gain of 50, an input impedance of 100 Ω and an output impedance of 200 Ω. The power gain of the amplifier is:

  • 500

  • 1000

  • 1250

  • 100

Solution

C.

1250

AC power gain is ratio of change in output power to the change in input power.
AC power gain
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Question
CBSEENPH12040035

A galvanometer having a coil resistance of 60 Ω shows full-scale deflection when a current of 1.0 A passes through it. It can be converted into an ammeter to read currents up to 5.0 A by

  • putting in parallel a resistance of 240 Ω

  • putting in series a resistance of 15 Ω

  • putting in series a resistance of 240 Ω

  • putting in parallel a resistance of 15 Ω

Solution

D.

putting in parallel a resistance of 15 Ω

To convert a galvanometer to ammeter a small resistance is connected in parallel to the coil of the galvanometer.
Here G1 = 60 Ω, Ig = 1.0 A, I = 5 A
Ig G1 = (I - Ig) S

straight S space equals space fraction numerator straight I subscript straight g straight G subscript 1 over denominator straight I space minus straight I subscript straight g end fraction space equals space fraction numerator 1 over denominator 5 minus 1 end fraction space straight x space 60 space equals space 15 space straight capital omega
Putting 15 Ω resistance in parallel.

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