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What is Electric Potential Energy?

Work done by an external force to bring charges from infinitely far apart to their current positions.

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What is Electric Potential Energy?

Work done by an external force to bring charges from infinitely far apart to their current positions.

Define $U_E$ in the context of Electric Potential Energy.

Electric potential energy, measured in Joules (J).

Define $q_1$ and $q_2$ in the context of Electric Potential Energy.

The charges of the two objects, measured in Coulombs (C).

Define $r$ in the context of Electric Potential Energy.

The distance between the charges, measured in meters (m).

Define $k$ in the context of Electric Potential Energy.

Coulomb's constant ( $8.99 imes 10^9$ N⋅m²/C²).

Define $\varepsilon_0$ in the context of Electric Potential Energy.

Permittivity of free space constant ( $8.85 imes 10^{-12}$ C²/N⋅m²).

Define Electric Potential Energy.

Work done by an external force to bring charges from infinitely far apart to their current positions; stored energy ready to do work.

What is $U_E$ in the context of Electric Potential Energy?

Electric potential energy, measured in Joules (J).

Define 'q' in the Electric Potential Energy formula.

The charge of an object, measured in Coulombs (C).

What is 'r' in the Electric Potential Energy formula?

The distance between the charges, measured in meters (m).

Define Coulomb's constant (k).

A constant equal to $8.99 imes 10^9$ N⋅m²/C² or $\frac{1}{4 \pi \varepsilon_{0}}$ .

Define $\varepsilon_0$ .

Permittivity of free space constant ( $8.85 imes 10^{-12}$ C²/N⋅m²).

What is the effect of increasing the magnitude of charges on electric potential energy?

Increases the electric potential energy.

What is the effect of decreasing the distance between charges on electric potential energy?

Increases the electric potential energy.

What is the effect of moving a +q charge from (0,a) to infinity?

The change in potential energy is $W = \frac{kq^2}{a}(\frac{1}{\sqrt{2}} - 1)$ .