Advertisements
Advertisements
प्रश्न
Three capacitors of capacitance `C_1 = 3muf` , `C_2 = 6muf` , `C_3 = 10muf` , are connected to a 10V battery as shown in figure 3 below :
Calculate :
(a) Equivalent capacitance.
(b) Electrostatic potential energy stored in the system
Advertisements
उत्तर
The equivalent capacitance of the series combinationf of `C_1` and `C_2`, is
`C_12 = (C_1.C_2)/(C_1+C_2)`
= `(3 xx 6)/((3 + 6)) muF = 2muF`
This is in parallel with `C_3`.
(a) So the equivalent capacitance of the combination of all the three capacitors, is
`C_(eq) = C_12 + C_3 = (2 + 10) = 12muF`
(b) Electrostatic PE stored in the system, is
`E = 1/2 C_(eq) . V^2`
= `1/2 xx 12muF xx (10V)^2 = 600muJ = 6 xx 10^-4 "J"`
APPEARS IN
संबंधित प्रश्न
Deduce an expression for equivalent capacitance C when three capacitors C1, C2 and C3 connected in parallel.
Each plate of a parallel plate capacitor has a charge q on it. The capacitor is now connected to a batter. Now,
(a) the facing surfaces of the capacitor have equal and opposite charges
(b) the two plates of the capacitor have equal and opposite charges
(c) the battery supplies equal and opposite charges to the two plates
(d) the outer surfaces of the plates have equal charges
Find the charges on the four capacitors of capacitances 1 μF, 2 μF, 3 μF and 4 μF shown in the figure.
A wire of resistance ‘R’ is cut into ‘n’ equal parts. These parts are then connected in parallel with each other. The equivalent resistance of the combination is:
The equivalent capacitance of the combination shown in the figure is ______.
The equivalent capacitance of the combination shown in the figure is ______.
Two equal capacitors are first connected in series and then in parallel The ratio of the equivalent capacities in the two cases will be ______.
The total charge on the system of capacitors C1 = 1 µF, C2 = 2 µF, C3 = 4 µF and C4 = 3 µF connected in parallel is ______. (Assume a battery of 20 V is connected to the combination)
The capacitors, each of 4 µF are to be connected in such a way that the effective capacitance of the combination is 6 µF. This can be achieved by connecting ______.
