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Direction: Statement for Q. 103 to Q. 105. A signal generator supplies a sine wave of 20V, 5kHz to the circuit shown below—

  1. Calculate total current IT
    1. 0·24 ∠ 33°
    2. 2·4 ∠ 33°
    3. 24 ∠ 30°
    4. None of these
Correct Option: A

The given circuit:

Capacitive reactance,

XC =
1
=
1
2πfC6·28 × 5 × 103 × 0·2 × 10–6

= 159·2Ω
IR =
Vs
=
20
= 0·2A
R100

IR =
VS
=
20
= 0·126A
XC159·2

The total current (IT) in parallel circuit is the vector sum of the branch currents. i.e.
IT = IC.IR + j IC = (0·2 + j 0·126)A
or
IT = 0·24 33°



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