Let C be the capacitance of a capacitor discharging through a resister R. Suppose is the time taken for the energy stored in the capacitor to reduce to half its initial value and is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio will be
A series R-C circuit is connected to AC Voltage source. Consider two cases: (A) when C is without a dielectric medium and (B) when C is filled with dielectric of constant 4. The current through the resistor and voltage across the capacitor are compared in the two cases. Which of the following is/are true?
A square metal wire loop of side 10 cm and resistance 1 is moved with a constant velocity in a uniform magnetic field of induction , as shown in figure. The magnetic field lines are perpendicular to the plane of the loop (directed into the paper). The loop is connected to network of resistors each of value 3 The resistance of the lead wires are negligible. The speed of the loop so as to have a steady current of mA in the loop is