In the circuit shown in Figure, find the maximum energy stored on the capacitor. Initially, the capacitor was uncharged.
Here no current will flow in the branch containing capacitor because the current flows in the closed circuit. So the capacitor remains uncharged and hence no energy is stored in the capacitor.
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)
In steady state, the energy stored in the capacitor is?
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:
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?