Advertisements
Advertisements
प्रश्न
Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. Determine the charge on each capacitor if the combination is connected to a 100 V supply.
Advertisements
उत्तर
Given: Supply voltage, V = 100 V
In a parallel combination, the potential difference across each capacitor is the same.
V1 = V2 = V3 = 100 V
Charge on a capacitor of capacitance C and potential difference V is given by the relation,
q = CV
For C1 = 2 pF,
q1 = C1V1
= 2 × 100
= 200 pC
= 2 × 10−10 C
For C2 = 3 pF,
q2 = C2V2
= 3 × 100
= 300 pC
= 3 × 10−10 C
For C3 = 4 pF,
q3 = C3V3
= 4 × 100
= 400 pC
= 4 × 10−10 C
संबंधित प्रश्न
An electrical technician requires a capacitance of 2 µF in a circuit across a potential difference of 1 kV. A large number of 1 µF capacitors are available to him each of which can withstand a potential difference of not more than 400 V. Suggest a possible arrangement that requires the minimum number of capacitors.
A cylindrical capacitor has two co-axial cylinders of length 15 cm and radii 1.5 cm and 1.4 cm. The outer cylinder is earthed and the inner cylinder is given a charge of 3.5 µC. Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends).
Figure 4 below shows a capacitor C, an inductor L and a resistor R, connected in series
to an a.c. supply of 220 V
Calculate:
1) The resonant frequency of the given CLR circuit.
2) Current flowing through·the circuit.
3) Average power consumed by the circuit.
Suppose a charge +Q1 is given to the positive plate and a charge −Q2 to the negative plate of a capacitor. What is the "charge on the capacitor"?
If the capacitors in the previous question are joined in parallel, the capacitance and the breakdown voltage of the combination will be
A capacitor of capacitance 5⋅00 µF is charged to 24⋅0 V and another capacitor of capacitance 6⋅0 µF is charged to 12⋅0 V. (a) Find the energy stored in each capacitor. (b) The positive plate of the first capacitor is now connected to the negative plate of the second and vice versa. Find the new charges on the capacitors. (c) Find the loss of electrostatic energy during the process. (d) Where does this energy go?
The figure shows a network of five capacitors connected to a 100 V supply. Calculate the total energy stored in the network.
An ac circuit consists of a series combination of circuit elements X and Y. The current is ahead of the voltage in phase by `pi/4`. If element X is a pure resistor of 100 Ω,
(a) name the circuit element Y.
(b) calculate the rms value of current, if rms of voltage is 141 V.
(c) what will happen if the ac source is replaced by a dc source
Two parallel plate capacitors X and Y, have the same area of plates and same separation between plates. X has air and Y with dielectric of constant 2, between its plates. They are connected in series to a battery of 12 V. The ratio of electrostatic energy stored in X and Y is ______.
Three different capacitors are·connected in series. Then:-
The equivalent capacitance of the combination shown in the figure is ______.
In the circuit shown in figure, initially K1 is closed and K2 is open. What are the charges on each capacitors.
Then K1 was opened and K2 was closed (order is important), What will be the charge on each capacitor now? [C = 1µF]
Two charges q1 and q2 are placed at (0, 0, d) and (0, 0, – d) respectively. Find locus of points where the potential a zero.
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 equivalent capacitance of the combination shown is:
What is the process of replacing a group of capacitors with a single equivalent capacitor that produces the same electrical effect called?
How is the total voltage related to the voltages across capacitors in series?
For two capacitors in series, which expression gives the voltage across the first capacitor?
Which formula gives the equivalent capacitance of capacitors in parallel?
Which expressions give the energy stored in series and parallel combinations, respectively?
