Advertisements
Advertisements
Question
If the capacitors in the previous question are joined in parallel, the capacitance and the breakdown voltage of the combination will be
Options
2 C and 2 V
C and 2 V
2 C and V
C and V.
Advertisements
Solution
2C and V
In a parallel combination of capacitors, the potential difference across the capacitors remain the same, as the right-hand-side plates and the left-hand-side plates of both the capacitors are connected to the same terminals of the battery. Therefore, the potential remains the same, that is, V.
For the parallel combination of capacitors, the capacitance is given by
`C_"eq" = C_1 + C_2`
Here ,
`C_1 = C_2 = C`
`therefore` `C_"eq" = 2C`
APPEARS IN
RELATED QUESTIONS
The electric field inside a parallel plate capacitor is E. Find the amount of work done in moving a charge q over a closed loop a b c d a.
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.
Deduce an expression for equivalent capacitance C when three capacitors C1, C2 and C3 connected in parallel.
The separation between the plates of a charged parallel-plate capacitor is increased. Which of the following quantities will change?
(a) Charge on the capacitor
(b) Potential difference across the capacitor
(c) Energy of the capacitor
(d) Energy density between the plates
Find the charges on the four capacitors of capacitances 1 μF, 2 μF, 3 μF and 4 μF shown in the figure.
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?
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
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 100Ω ,
(a) name the circuit element Y.
(b) calculate the rms value of current, if rms value of voltage is 141V.
(c) what will happen if the ac source is replaced by a dc source ?
The figure shows a network of five capacitors connected to a 100 V supply. Calculate the total energy stored in the network.
Three different capacitors are·connected in series. Then:-
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]
What is the process of replacing a group of capacitors with a single equivalent capacitor that produces the same electrical effect called?
Which quantity describes a single capacitor that stores the same charge at the same voltage as an entire combination?
What is the work done per unit charge in moving a charge from one plate of a capacitor to the other called?
Compared with the individual capacitors in a series combination, how large is the equivalent capacitance?
What is the voltage relationship for capacitors in parallel?
