**For the circuit shown in the figure, the switch S is initially open and the capacitor is…**

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## Question “For the circuit shown in the figure, the switch S is initially open and the capacitor is…”

For the circuit shown in the figure, the switch S is initially open and the capacitor is uncharged.

The switch is then closed at time t = 0. How many seconds after closing the switch will the

energy stored in the capacitor be equal to 50.2 mJ?

## Answer

This problem can be solved using the following concepts: maximum charge on a capacitor within an RC Circuit, charge as a function time in an RCC circuit, and energy inside a charged capacitor.

To find the energy stored within a capacitor, first use the relationship between charge and time as a function.

Next, calculate the relationship between voltage and capacitance to determine the maximum charge for a capacitor.

Finally, you can use charge as a function time in an RCC circuit to determine how long it takes for a capacitor to store

electricity.

After the switch is closed the capacitor connects to the battery. The charge is then stored in the capacitor.

Charge as a function time is the expression

Here, time is

and resistance is

. Capacitance is

. Maximum charge on the capacitor:

. Charge as a function time is

.

The energy stored in the capacitor’s capacitor is described as

The maximum charge for a capacitor is

.

The energy stored in the capacitor’s capacitor is described as

Modifying the charge expression is

Substitute HTMLmedia_tag_12$ to and HTMLmedia_tag_14$ to .

The maximum charge for a capacitor is

Substitute HTMLmedia_tag_18$ to and HTMLmedia_tag_20$ to .

The charge is a function time.

Modifying the expression

Place a log of natural wood on each side.

Substitute

to

;

to

;

to

;

to

.

Ans:

The time it takes for a capacitor to store

electricity is over when the switch closes. It costs

.

## Conclusion

Above is the solution for “**For the circuit shown in the figure, the switch S is initially open and the capacitor is…**“. We hope that you find a good answer and gain the knowledge about this topic of **science**.