How much charge stored in capacitor ?

In summary, the conversation discusses the placement of a paper between two plates of copper with an area of 100 cm^2. The paper has a thickness of 0.005cm and a dielectric constant of 2.5. It is able to withstand an electric field of 5 x 10^5 V/cm. The conversation then asks for the calculation of the maximum voltage that the capacitor can be charged up to, as well as the amount of charge that will be stored on the capacitor. To find the capacitance, the formula C = ε*A/d is used, with ε being 2.5 times the permittivity of free space εo, and A being the area of the plates and
  • #1
ixtra
2
0
A paper is placed between two plates of copper , area 100 cm^2. The thickness of the paper 0.005cm and its dielectric constant is 2.5 . If the paper can bear an electric field of 5 x 10^5 V/cm then calculate the maximum voltage upto which the capacitor can be charged.How much charge will be stored on the capacitor ?



My attempt -> A=100cm^2
K=2.5
5x10^5=9x10^9 x q / r
 
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  • #2
ixtra said:
A paper is placed between two plates of copper , area 100 cm^2. The thickness of the paper 0.005cm and its dielectric constant is 2.5 . If the paper can bear an electric field of 5 x 10^5 V/cm then calculate the maximum voltage upto which the capacitor can be charged.How much charge will be stored on the capacitor ?

My attempt -> A=100cm^2
K=2.5
5x10^5=9x10^9 x q / r

Welcome to PF.

First figure the capacitance
ε = 2.5*εo
C = ε*A/d = 2.5*8.8*10-12*(.01 m2)/.00005m

Then you can use that result to figure the charge at max V with

Q = v*C
 
  • #3
thanks
 

1. How is the amount of charge stored in a capacitor measured?

The amount of charge stored in a capacitor is measured in units of coulombs (C) using a multimeter or other measuring device.

2. What factors affect the amount of charge stored in a capacitor?

The amount of charge stored in a capacitor is affected by the capacitance of the capacitor, the voltage applied to the capacitor, and the material of the dielectric between the plates.

3. How does the capacitance of a capacitor affect the amount of charge stored?

The capacitance of a capacitor is directly proportional to the amount of charge stored. This means that a capacitor with a higher capacitance will be able to store more charge than a capacitor with a lower capacitance, given the same voltage.

4. Can the amount of charge stored in a capacitor be changed?

Yes, the amount of charge stored in a capacitor can be changed by adjusting the voltage applied to the capacitor. Increasing the voltage will increase the amount of charge stored, while decreasing the voltage will decrease the amount of charge stored.

5. What happens if a capacitor becomes overcharged?

If a capacitor becomes overcharged, it can potentially become damaged or even explode. It is important to use proper voltage ratings and precautions when charging a capacitor to prevent overcharging.

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