What Happens to Potential Difference When Switches Are Closed?

In summary, two capacitors with different capacitances are initially charged to the same potential difference with opposite polarity. When connected in series, the bottom right plate of one capacitor attracts electrons from the top right plate of the other capacitor, causing a flow of electrons from the top right plate to the bottom right plate. This in turn repels electrons from the bottom left plate of the second capacitor to the top left plate. The final potential difference between points a and b is determined by the voltage and distribution of charge in the system.
  • #1
22990atinesh
143
1

Homework Statement



Two capacitors ##C_1## and ##C_2## (where ##C_1 > C_2##) are charged to the same initial potential difference ##ΔV_i##, but with opposite polarity. The charged capacitors are removed from the battery, and their plates are connected as shown in Figure a. The switches ##S_1## and ##S_2## are then closed, as shown in Figure b. Find the final potential difference ##V_f## between a and b after the switches are closed

Capture.jpg


The Attempt at a Solution



I'm trying to understand, How polarity of charges changed for ##C_2## when switches ##S_1## and ##S_2## are closed. How left plate of ##C_2## acquires positive charge and right plate negative charge. In which direction electrons flows, from which plate to which plate. Please explain..
 
Physics news on Phys.org
  • #2
22990atinesh said:
I'm trying to understand, How polarity of charges changed for ##C_2## when switches ##S_1## and ##S_2## are closed. How left plate of ##C_2## acquires positive charge and right plate negative charge. In which direction electrons flows, from which plate to which plate. Please explain..

The bottom right plate attracts electrons from top right plate .The electrons flow from top right plate to the bottom right plate which in turn repel electrons from bottom left plate to top left plate .
 
  • #3
Vibhor said:
The bottom right plate attracts electrons from top right plate .The electrons flow from top right plate to the bottom right plate which in turn repel electrons from bottom left plate to top left plate .

I didn't understand :confused:
 
  • #4
What Vibhor means is that the right plate of ## C_1## initially has a surplus of ##e^-##, and the right plate of ##C_2## is lacking in ##e^-##, if you look this up, the will talk about electron "holes" which causes the positive charge. Use the sea of electrons model of current to determine what happens.
 
  • #5
Also, make sure to keep track of the Voltages of your system the whole time.
 

FAQ: What Happens to Potential Difference When Switches Are Closed?

What is potential difference?

Potential difference, also known as voltage, is the difference in electric potential energy between two points in an electric circuit. It is measured in volts (V).

How is potential difference calculated?

Potential difference is calculated by dividing the amount of work done (energy) by the amount of charge that moves in an electric circuit. It can be expressed as V = W/Q, where V is potential difference, W is work done, and Q is charge.

What is the unit of measurement for potential difference?

The unit of measurement for potential difference is volts (V). Other common units include millivolts (mV) and kilovolts (kV).

What factors affect potential difference?

The main factors that affect potential difference are the amount of charge and the distance between the two points in an electric circuit. The type of material and its resistance can also affect potential difference.

How is potential difference used in practical applications?

Potential difference is used in various practical applications, such as powering electronic devices, transmitting electricity through power lines, and measuring current in circuits. It is also used in industries to control the flow of electricity and in scientific experiments to understand the behavior of electric charges.

Back
Top