Electric Potential and a capacitor

In summary, the conversation discusses how to determine the potential difference across the plates of a huge 4.0 F capacitor, given the amount of energy it can store and the mass and temperature of water it can heat. The suggested equation to use is q=m*c*delta(T), where q is the heat transferred by the capacitor, m is the mass of water, c is the specific heat of water, and delta T is the change in temperature. This equation can be set equal to the potential energy (PE) and solved for V. The conversation concludes with the clarification that this approach is correct.
  • #1
Jodi
23
0
Hi; Could someone please help me with the following question: A huge 4.0 F capacitor has enough stored energy to heat 2.5 kg of water form 21 degrees celsius to 95 degrees celsius. What is the potential difference across the plates? Could i use the equation: PE = 1/2 CV^2. However, I do not know how to solve for PE; how do I use the given temperatures and mass? Thank you for your help.
 
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  • #2
I would use q=m*c*delta(T) to get the heat (Joules) transferred by the capacitor. m=the mass in grams of your water. c is the specific heat of water. delta T is the change in temperature. Then set that amount equal to your potential energy and solve for V...I think that's right
 
  • #3
thanks

Thanks a lot for your help, I understand it now.
 

Related to Electric Potential and a capacitor

What is electric potential?

Electric potential is the amount of work needed to move a unit positive charge from one point to another in an electric field. It is measured in volts (V) and is a measure of the electric potential energy per unit charge.

What is a capacitor?

A capacitor is a device that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material (dielectric). When a voltage difference is applied across the plates, it creates an electric field, which causes the plates to store energy.

How is electric potential calculated for a capacitor?

The electric potential of a capacitor can be calculated by dividing the charge on one plate by the capacitance of the capacitor. This can be represented by the equation V = Q/C, where V is the electric potential, Q is the charge, and C is the capacitance.

What is the difference between electric potential and electric field?

Electric potential is a scalar quantity that measures the amount of electric potential energy per unit charge at a point in an electric field. On the other hand, electric field is a vector quantity that measures the force per unit charge at a point in an electric field. Electric potential is dependent on the electric field, but electric field is not dependent on the electric potential.

How does the electric potential change when a capacitor is connected to a battery?

When a capacitor is connected to a battery, the electric potential difference between the plates of the capacitor increases. This is because the battery provides a constant voltage, causing the plates of the capacitor to store more energy. The electric potential difference will remain constant as long as the capacitor is connected to the battery.

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