# Series and Parallel Combination of Elements MCQ’s

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Series and Parallel Combination of Elements”.

1. In the circuit shown below, the capacitor is replaced by a transform impedance of __________ with an initial voltage ___________

a) 1/Cs, V0/S
b) 1/Cs, I0/S
c) Cs, I0/S
d) Cs, V0/S

2. The value of the total voltage after replacing the inductor and capacitor is?

a) V1(S)-LI0-V0/S
b) V1(S)+LI0-V0/S
c) V1(S)+LI0+V0/S
d) V1(S)-LI0+V0/S

3. In the circuit shown below, switch K is moved from position to position 2 at time t = 0. At time t = 0-, the current in the inductor is I0 and the voltage at the capacitor is V0. The inductor is represented by a transform impedance _________ in series with a voltage source __________

a) Ls, L V0
b) Ls, LI0
c) 1/Ls, LI0
d) 1/Ls, L V0

4. The value of the total impedance after replacing the inductor and capacitor is?

a) R-LS-1/CS
b) R-LS+1/CS
c) R+LS+1/CS
d) R+LS-1/CS

5. Obtain the admittance of the last two elements in the parallel combination after transformation in the circuit shown below.

a) 1+s
b) 2+s
c) 3+s
d) 4+s

6. The series combination of the last elements after replacing 1/s and 1/4Ω with 1/(S+4) is?

a) (3s+4)/2s(s-4)
b) (3s-4)/2s(s-4)
c) (3s+4)/2s(s+4)
d) (3s-4)/2s(s+4)

7. The current flowing in the following circuit is?

a) (V1(S)-LI0-V0/S)/(R+LS+1/CS)
b) (V1(S)-LI0+V0/S)/(R+LS+1/CS)
c) (V1(S)+LI0+V0/S)/(R+LS+1/CS)
d) (V1(S)+LI0-V0/S)/(R+LS+1/CS)

8. The impedance of the last two elements in the parallel combination after transformation in the circuit shown below is?

a) 1/(s+4)
b) 1/(s+3)
c) 1/(s+2)
d) 1/(s+1)

9. Determine the admittance parallel combination of the last elements after replacing with (3s+4)/2s(s+4) is?

a) (4s2-19s+4)/(6s-8)
b) (4s2+19s-4)/(6s+8)
c) (4s2+19s-4)/(6s-8)
d) (4s2+19s+4)/(6s+8)

10. Obtain the transform impedance of the network shown below.

a) (6s-8)/(4s2+19s-4)
b) (6s+8)/(4s2+19s+4)
c) (6s+8)/(4s2-19s+4)
d) (6s-8)/(4s2+19s+4)