# Potential Difference V_ad: Solving with Switch S Closed

In summary, the problem involves finding the potential difference V_ad after closing the switch, given that the capacitors are initially uncharged and connected with switch S open. The equation Q=C_eq*V and V_ab=Q/C can be used to solve the problem. A helpful hint is to redraw the diagram without the line cd, with points c and d being the same, as the potential at c and d is equal.

## Homework Statement

The capacitors in the Figure are initially uncharged and are connected, as in the diagram, with switch S open. The applied potential difference is V_ab = + 210V

What is the potential difference V_ad after switch S is closed?

Q=C_eq*V
V_ab=Q/C

## The Attempt at a Solution

I really have no idea how to get started doing this problem. The first part of the problem asked "What is the potential difference V_cd?" This I found easy but once you close the switch I'm not sure how to approach the problem. Specifically how do you go about combining the capacitors to get a C_eq. Thanks for any help.

#### Attachments

• YF-24-60.jpg
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Hint: the potential at c and d is the same, so draw the diagram again without the line cd, with the points c and d the same.

## What is potential difference?

Potential difference, also known as voltage, is the difference in electrical potential energy between two points in an electric circuit. It is measured in volts and determines the flow of electric current.

## How is potential difference calculated?

Potential difference is calculated by dividing the work done in moving a unit of electric charge from one point to another by the amount of charge being moved. This can be represented by the equation V = W/Q, where V is potential difference, W is work done, and Q is charge.

## What is the role of switch S in solving potential difference with switch S closed?

The switch S in a circuit allows for the circuit to be opened or closed, controlling the flow of electric current. When solving for potential difference with switch S closed, it means that the circuit is complete and there is a continuous flow of current.

## How does potential difference affect the flow of electric current?

Potential difference is directly proportional to the flow of electric current. This means that a higher potential difference will result in a greater flow of current, while a lower potential difference will result in a lower flow of current.

## Can potential difference be negative?

Yes, potential difference can be negative. This occurs when the direction of the electric current is opposite to the direction of the potential difference. It is important to pay attention to the signs when calculating potential difference to ensure accuracy.

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