The electrostatic potential at a point is defined as the amount of work done in bringing a unit positive charge from ___ to that point.

Infinity

True or False: The electric potential is a vector quantity.

False. Electric potential is a scalar quantity.

What is the unit of electric potential, and how is it defined mathematically?

The unit of electric potential is volts (V), defined as joules per coulomb (J/C).

Fill in the blank: The electric potential difference between two points is calculated as ___ divided by the quantity of charge.

Work done

In a circuit, the positive terminal of a battery is described as the ___ terminal.

High potential

What is an equipotential surface?

An equipotential surface is a surface on which all points have the same electric potential, meaning no work is required to move a charge along the surface.

Riddle: I am a surface where no work is done when a charge moves along me, and I have the same potential everywhere. What am I?

An equipotential surface.

The electric field is always ___ to an equipotential surface.

Perpendicular

True or False: Electric fields can exist in the interior of a conductor in electrostatic equilibrium.

False. The electric field inside a conductor is zero in electrostatic equilibrium.

If the electric potential increases while moving against the electric field, it means that the work done is ___ by an external agent.

Positive

In terms of electric potential, what does the formula E = -dV/dr represent?

It represents the relationship between electric field (E) and the rate of change of electric potential (V) with respect to distance (r).

Fill in the blank: The potential energy of a dipole in a uniform electric field is given by the formula U = -pE cos(θ), where p is the ___ of the dipole.

Dipole moment

What happens to the electric potential energy of a system of charges when they are brought closer together?

The potential energy of the system decreases if the charges are of opposite signs and increases if they are of the same sign.

Riddle: I can be positive or negative, created by charges and affecting how they interact. What am I?

Electric potential energy.

How are the dielectric constant and the capacitance of a capacitor related?

The dielectric constant increases the capacitance of a capacitor by the factor of the dielectric constant, where C = κC₀.

True or False: The potential difference across an equipotential surface is always positive.

False. The potential difference across an equipotential surface is zero.