ESE 2021 Technical Quiz 6 || Time Domain & Frequency Analysis (App update required to attempt this test)

The RC circuit shown below has a variable resistance R(t) given by the following expression :

for 0 ≤ t < T

where R₀ = 1 Ω, and C = 1 F. We are also given that T = 3 R₀C and the source voltage is V_s = 1 V. If the current at time
t = 0 is 1 A, then the current I(t), in amperes, at time t = T/2 is __________ (rounded off to 2 decimal places).

For the RL circuit shown in the below figure, the inductor is carrying a current of I₀ for t<0.

If a unit step input is applied at t=0, then the current i(t) at t= will be (assueme )

Find the energy stored in the circuit_____________mJ

A 10mH inductor with resistor ‘R’ draws a current of 5 A from a 30V,=1000 rad/sec supply. The angular frequency ‘’ (in rad/sec) at which circuit draws the same current from a 15V supply is.