GATE 2023 Network Theory Rank Booster Quiz 4

Consider a series RC network R = 8Ω, C = 30 μF are current is lead by 30^° w.r.t voltage. Then frequency of source will be ________ Hz.

Consider the following network.

The steady state current i_C­(t) is

Consider a series RLC circuit show in below figure, if current lags behind voltage by 45° and voltage across the inductor is twice the voltage across the capacitor, The value of inductive reactance ohm.

The maximum current in a series R-L-C network with variable frequency excitation is 1 A, when the applied voltage is 10V. The inductance has a value of 0.1 H. The Q-factor at the maximum current is 10. Then the value of C is

In a two-element series network, the instantaneous voltages across the elements are

Sin314 t and

The resultant voltage across the combination is expressed as Vcos(314t + θ). Then the values of V and θ are

In a parallel RLC circuit the component values are given as L = 2H and C = 0.25 F. In order to make the system critically damped, the value of resistance R should be ________ Ω.

In the following network, the complex power absorbed by the source V₂ is (0 + j1000) VA. The value of R and the unknown element X is [frequency = ω = 10³ rad/sec]