PYQs Based test 3: Electric Circuits

The graph associated with an electrical network has 7 branches and 5 nodes. The number of independent KCL equations and the number of independent KVL equations, respectively, are

The driving point input impedance seen from the source Vₛ of the circuit shown below, in Ω, is ______

The z-parameters of the two-port network shown in the figure are Z11 = 40 Ω, Z12 = 60 Ω, Z21 = 80 Ω and Z22 = 100 Ω. The average power delivered to R${}_L$ = 20 Ω, in watts, is _______.

In the circuit shown, switch $S_2$ has been closed for a long time. At time $t=0$ switch $S_1$ is closed. At $t=0^{+}$, the rate of change of current through the inductor, in amperes per second, is _____.

The voltage v(t) across the terminals a and b as shown in the figure, is a sinusoidal voltage having a frequency ω = 100 radian/s. When the inductor current i(t) is in phase with the voltage v(t), the magnitude of the impedance Z (in Ω) seen between the terminals a and b is ________ (up to 2 decimal places).