An infinite ladder is constructed with 1 ? and 2 ? resistors shown below. 8.18 A

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Question
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

Correct Answer

9 A

Explanation

R = 1 + (2 || R)

⟹ R = 2

An infinite ladder is constructed with 1 ? and 2 ? resistors shown below. 8.18 A 0 A 9 A can't deter .

Networks Analysis and Synthesis problems

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2. 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 ?

3. 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

4. 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

5. 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

6. 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

7. 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

9. The circuit in figure will act as ideal current source with respect to terminals A and B when frequency is
Options
A. 0
B. 1 rad/sec
C. 4 rad/sec
D. 16 rad/sec

10. In the circuit shown in given figure, the values of i(0⁺) and I(?), will be respectively
Options
A. zero and 1.5 A
B. 1.5 A and 3 A
C. 3 A and zero
D. 3 A and 1.5 A

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