GATE 2022: Networks-45 (App update required to attempt this test)

Find the total inductance of the three series connected coupled coils in figure below:

L₁ = 1H ; L₂ = 2H ; L₃ = 5H

M₁₂ = 0.5 H, M₂₃ = 1H ; M₁₃ = 1H

If the Thevenin's equivalent voltage seen from port ab is 107.33 ∠ –116.56° Volts. Maximum power transfer to complex load connected across port ab ______W

A benchtop dc power supply acts as an ideal 4 A current source as long as its terminal voltage is below 10 V. Beyond this point, it begins to behave as an ideal 10 V voltage source for all load currents going down to 0 A. When connected to an ideal rheostat, find the load resistance value at which maximum power is transferred, and the corresponding load voltage and current.

In a linear two port network, when 10 V is applied to port 1, a current of 4 A flows through port 2 when it is short circuited. When 5 V is applied to Port 1, a current of 1.25 A flows through a 1 Ω resistance connected across Port 2. When 3V is applied to Port 1, then current (in Ampere) through a 2 Ω resistance connected across Port 2 is ____________.

A Balanced abc- sequence, Y-connected source with V_an = 100∠10° V is connected to a Δ-connected balanced load of (8 + j4)Ω per phase. Calculate the line ‘a’ current in the load.