PYQs Based test 3: Electric Circuits

A series RLC circuit is observed at two frequencies. At ω₁ = 1 k rad/s, we note that source voltage V₁ = 100∠0°V results in current I₁ = 0.03∠31° A. At ω₂ = 2 k rad/s, the source voltage V₂ = 100∠0° V results in a current I₂ = 2∠0° V A. The closest values for R, L, C out of the following options are

For the given circuit the thenvenin equivalent is to be determined. The Thevenin voltage, V${}_{TH}$ (in volt), seen from terminal AB is _________.

The voltages developed across the 3 Ω and 2 Ω resistors shown in the figure are 6 V and 2 V respectively, with the polarity as marked. What is the power (in Watt) delivered by the 5 𝑉 voltage source?

The self inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the winding is less than their respective rated currents. The resistance of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?

In the given circuit, the parameter K is positive, and the power dissipated in the 2 Ω resistor is 12.5 W. The value of K is _______.