**Capacitors C1=10μF and C2=20μF are each charged to 14 V , then disconnected from the battery…**

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## Question “Capacitors C1=10μF and C2=20μF are each charged to 14 V , then disconnected from the battery…”

Capacitors *C*1=10*μ*F and

*C*2=20*μ*F are each charged to 14 V , then

disconnected from the battery without changing the charge on the

capacitor plates. The two capacitors are then connected in

parallel, with the positive plate of *C*1connected to the

negative plate of *C*2 and vice versa.

(a) Afterward, what is the charge on each capacitor?

(b) What is the potential difference across each capacitor?

## Answer

This problem can be solved using the following concepts: voltage, charge, and parallel combination capacitors.

To find the new charge on a capacitor after it has been connected in a parallel combination, use the concepts of voltage, charge, and parallel combination of caps.

To find the potential difference between each capacitor, use the concept of voltage.

Here’s how to define capacitance:

Here, the charge is. The voltage is. And the capacitance is

Below is the formula for total capacitance of a parallel combination

Here is the total capacitance.,, and are the capacitances.

Below is the expression for the charge of a capacitor:

**(a)**

Below is the expression for the charge of a capacitor:

Below is the expression for the charge on an capacitor

represents the charge on a capacitor

.

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.

Below is the expression for the charge on an capacitor

represents the charge on a capacitor

.

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The capacitor can be connected in parallel to the negative plate of the one connected to the positive of the other. This will result in the storage of a net charge equal to the difference between the capacitors.

Hence

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Below is the expression for equivalent capacitance of parallel combination

Below is the expression for capacitances

in parallel combination:

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This is the equivalent capacitance expression:

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Below is the expression for the new charge of a capacitor

, after it has been connected in a parallel combination.

After connecting the capacitors in parallel,

becomes the new charge on the capacitor

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.

Below is the expression for the charge of a capacitor

when it has been connected in a parallel configuration.

After connecting the capacitor in parallel,

becomes the new charge.

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or HTMLMediaTag56 to

.

**(b)**

Below is the expression for the charge of a capacitor:

The voltage across all capacitors is the same when they are connected in parallel.

is the possible difference between each capacitor.

Ans: Part A

After connecting the capacitors in a parallel combination, the new charges are

&

.

Part b

**The possible difference between each capacitor is**

**.**

## Conclusion

Above is the solution for “**Capacitors C1=10μF and C2=20μF are each charged to 14 V , then disconnected from the battery…**“. We hope that you find a good answer and gain the knowledge about this topic of **science**.