A two branch parallel circuit has a 20 ? resistance and 1 H inductance in one br

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Question
A two branch parallel circuit has a 20 ? resistance and 1 H inductance in one branch and a 100 ?F capacitor in the second branch. It is fed from 100 V ac supply, at resonance, the input impedance of the circuit is
Options
A. 500 ?
B. 50 ?
C. 20 ?
D. 5 ?

Correct Answer

500 ?

Explanation

At parallel resonance circuit impedance =

A two branch parallel circuit has a 20 ? resistance and 1 H inductance in one branch and a 100 ?F ca

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Networks Analysis and Synthesis problems

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1. In an R-C series circuit excited by a voltage E, the charge across capacitor at t = 0⁺ is
Options
A. 0
B. CE
C. CE (1 - e^-t/RC)
D. none of the above

2. In the figure shown, A₁, A₂, A₃ are identical Ammeters. If A₁ and A₃ read 5 and 13 A respectively, reading of A₂ will be
Options
A. 8
B. 13 A
C. 18
D. 12 A

3. The current wave shape shown in figure (1) is applied to a circuit element. The voltage across the element is shown in figure (2). The element is
Options
A. R
B. L
C. C
D. Semiconductor

4. The electrical energy required to heat a bucket of water to a certain temperature is 2 kWh. If heat losses, are 25%, the energy input is
Options
A. 2.67 kWh
B. 3 kWh
C. 2.5 kWh
D. 3.5 kWh

5. When a current source I is suddenly connected across a two terminal relaxed RC circuit at time t = 0, the voltage across the current source is shown in figure. The RC circuit is
Options
A. a series combination of R and C
B. a parallel combination of R and C
C. a series combination of R and parallel combination of R and C
D. a pure capacitor

7. An infinite ladder is constructed with 1 ? and 2 ? resistors shown below.
Options
A. 8.18 A
B. 0 A
C. 9 A
D. can't determined

8. A 0.5 ?F capacitor is connected across a 10 V battery. After a long time, the circuit current and voltage across capacitor will be
Options
A. 0.5 A and 0 V
B. 0 A and 10 V
C. 20 A and 5 V
D. 0.05 A and 5 V

9. The impedance matrices of two, two-port network are given by and . If these two networks are connected in series, the impedance matrix of the resulting two-port network will be
Options
A.
B.
C.
D. indeterminate

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