Electronics and Communication Engineering - Networks Analysis and Synthesis

1.
Three identical coils each having self inductance L are connected in series so that the fluxes of all the three are in the same direction. If mutual inductance between each pair of coils is M, the total inductance of the arrangement is
3 L + 9 M
1.5 L + 3 M
3 L + 3 M
3 L + 6 M
Answer: Option
Explanation:

Total inductance = L + L + L + M + M + M + M + M + M = 3L + 6M.


2.
In a resistive ac circuit, the current __________ the voltage by __________ .
lags, 90°
lags, 45°
lags, 0°
leads 90°
Answer: Option
Explanation:

In a resistive circuit the current is in phase with voltage, i.e., lags by 0°.


3.
KVL for second loop in figure is
Answer: Option
Explanation:

emf induced in loop 2 due to i1 is


4.
When two coupled coils of equal self inductance are cormected in series in one way the net inductance is 12 mH and when they are connected in the other way the net inductance is 4 mH. The maximum value of inductance when they are connected in parallel is
2 mH
3 mH
4 mH
6 mH
Answer: Option
Explanation:

L1 = L2 = L = 4H. When in parallel effective inductance =


5.
An R-L series circuit is excited by a voltage v(t). The circuit was initially relaxed. Which of the following sources of v(t) would cause maximum current at t = 0+?
unit step
unit impulse
unit ramp
unit step plus unit ramp
Answer: Option
Explanation:

An impulse has very high rate of rise. Therefore, it causes maximum current.