PYQs Based test 2: Electric Circuits

A Two – phase load draws the following phase currents: $i_1\left(t\right)=I_m\sin \left(\omega t-{\varphi }_1\right),i_2\left(t\right)=I_m\cos \left(\omega t-{\varphi }_2\right)$ These currents are balanced if ${\varphi }_1$ is equal to

The average power delivered to an impedance (4 – j3) Ω by a current 5 cos (100πt + 100) A is

Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is

In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is _______

Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380 μH and 240 μH. Their mutual inductance in μH is ______