An infinite grid is built up by connecting resistors in the manner indicated in figure, where each branch represents one ohm resistor. Calculate the effective resistance between the nodes A and B.

In the following circuit the capacitance varies as C = KQ, where K is a constant equal to 0.5 Farads/Coulomb and Q, the charge on the capacitor in Coulombs. Determine the current through the circuit and sketch the voltage waveform across the capacitor (V_C) for a step input V_i as shown in figure.

In figure, A₁, A₂ and A₃ are ideal ammeters. If A₁ reads 5 A, A₂, A₂ reads 12 A, then A₃ should read

A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor is