In steady state, the energy stored in the capacitor is?
A capacitor of capacitance $$C$$ is connected to a battery of emf $$\varepsilon $$ at $$t=0$$ through a resistance $$R$$. Find the maximum rate at which energy is stored in the capacitor. When does the rate has this maximum value?
A parallel-plate capacitor has plate area $$20 cm^2$$, plate separation $$1.0 mm$$ and a dielectric slab of dielectric constant $$5.0$$ filling up the space between the plates. This capacitor is joined to a battery of emf $$6.0 V$$ through a $$100 k\Omega$$ resistor. Find the energy of the capacitor $$8.9\mu s$$ after the connections are made.
A silver and copper voltameters are connected in parallel to a $$12$$V battery of negligible resistance. At what rate is energy being delivered by the battery, if in $$30$$ minutes, $$1$$ g of silver and $$1.8$$g of copper are deposited?(Assume electrochemical equivalent of silver $$=11.2\times 10^{-7}$$ kg/C, electrochemical equivalent of copper$$=6.6\times 10^{-7}$$ kg/C)
The charge supplied by source varies with time t as $$Q=at-bt^2$$. The total heat produced in resistor $$2R$$ is?
An initially uncharged capacitor C is fully charged by a device of constant emf connected in series with a resistor R. (a) Show that the final energy stored in the capacitor is half the energy supplied by the emf device. (b) By direct integration of $$i^2R$$ over the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.
A capacitor discharges through a resistance. The stored energy $$U_0$$, in one capacitive time constant falls to:
In the circuit shown in Figure, find the maximum energy stored on the capacitor. Initially, the capacitor was uncharged.
A capacitor of capacitance $$C$$ has charge $$Q$$. It is connected to an identical capacitor through a resistance. The heat produced in the resistance is
The capacitor C is initially without charge. $$X$$ is now joined to $$Y$$ fir a long time, during which $$H_1$$ heat is produced in the resistance $$R$$. $$X$$ is now joined to Z for a long time, during which $$H_2$$ heat is produced in $$R$$ (see Figure).
In the electric circuit shown, power dissipated in the resistances R and $$2R$$ at an instant after the switch is closed are $$9$$W and $$2$$W respectively. What is the rate of increase in the energy stored in the capacitor at this instant?