The figure shows a circuit that contains four identical resistors with resistance $ R=2.0\Omega $. Two identical inductors with inductance$ L= 2.0 mH$ and an ideal battery with emf $ E=9V$ The current ‘$ i $just after the switch $ \text{}s\text{}$ is closed will be:
Q. Two circular loops of radii 0.05m and 0.09m are arranged such that their axes coincide and their centres are 0.12m apart. Charge of 10−6C is spread uniformly on each loop. The potential difference between the centres of the loops is
Q. A leaky parallel plate capacitor is filled completely with a material having dielectric constant K=5 and electric conductivity σ=7.4×10–12Ω–1m–1. If the charge on the plate at the instant t=0 is q=8.85μC, then the leakage current at the instant t=12 sec is approximately x×10–1μA where x is
(round off to nearest integer)
Q. A 1μF capacitor is connected in the circuit shown below. The emf of the cell is 3V and internal resistance is 0.5Ω. The resistors R1 and R2 have values 4Ω and 1Ω respectively. The charge on the capacitor in steady state must be
Q. The given figure represents the phasor diagram of a series LCR circuit connected to an AC source. At instant t when the source voltage is given by V=V0cosωt, the current in the circuit in terms of peak current I0 will be
Given: VOR=√3V = Voltage Across Resistor VOL=3V = Voltage Across Inductor VOC=2V = Voltage Across capacitor
Q. A parallel plate capacitor of capacitance 20μF is being charged by a voltage source whose potential is changing at the rate of 3Vs−1. The conduction current through the connecting wires, and the displacement current through the plates of the capacitor, would be, respectively :
Q. A parallel plate capacitor of capacitance 20μF is being charged by a voltage source whose potential is changing at the rate of 3Vs−1. The conduction current through the connecting wires, and the displacement current through the plates of the capacitor, would be, respectively :
Q. A 1μF capacitor is connected in the circuit shown below. The emf of the cell is 3V and internal resistance is 0.5Ω. The resistors R1 and R2 have values 4Ω and 1Ω respectively. The charge on the capacitor in steady state must be
Q. Two capacitors C1=8μF and C2=4μF are connected in series between points A and B. An ideal cell of emf 12V is connected between A and B for a long time. Now, a slab of dielectric constant k=2 is slowly introduced, fully in the gap of capacitor C2.
As the dielectric is introduced, the energy taken from the cell is 192μJ.
As the dielectric is introduced the increase in electrostatic energy stored in the capacitors is 96μJ.
The work done by dielectric slab on the filling agent during the filling process is positive.
The work done by dielectric slab on the filling agent during the filling process is zero.
Q. Time constant of a capacitor and capacitance are 5s and 100nF. It is charged from zero by a cell of emf10V through a resistor. The charge on it after 3 s is.
