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We have seen that the capacitance C depends on the size and position of the two conductors, as well as on the dielectric constant K. What then did we mean when we said that C is a constant in Eq. 17鈥7?

Short Answer

Expert verified

The capacitance does not rely on charge and voltage.

Step by step solution

01

Understanding dielectric constant

The dielectric constant is described as the term which is equivalent to the fraction of permittivity of a material and permittivity of a vacuum.

02

Evaluation of the change in capacitance  

The relation of capacitance is given by,

\(Q = CV\)

Here, Cis the capacitance, Qis the amount of charge and Vis the voltage across the capacitor.

In general, the capacitance does not get affected by voltage (V) and amount of charge (Q) stored on capacitor plates. Therefore, when one say that capacitance is constant in the above equation; it means that capacitance does not change with voltage and charge.

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A proton \(\left( {{\bf{Q = + e}}} \right)\) and an electron \(\left( {{\bf{Q = - e}}} \right)\) are in a constant electric field created by oppositely charged plates. You release the proton from near the positive plate and the electron from near the negative plate. Which feels the larger electric force?

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Question: How does the energy stored in an isolated capacitor change if (a) the potential difference is doubled, or (b) the separation of the plates is doubled?

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