The potential is zero because the scalar contributions from the positive and negative charges cancel out

The potential is zero because the electric field vectors from the two charges point in opposite directions

The potential is nonzero because the scalar contributions from the two charges add up constructively

The potential is nonzero because the electric field vectors from the two charges point in the same direction

The final charge is $3Q/4$ because charge flows until the electric potentials of both spheres are equal

The final charge is $Q/2$ because charge flows until the charge magnitudes on both spheres are equal

The final charge is $Q/4$ because charge flows until the surface electric fields of both spheres are equal

The final charge is $Q/3$ because charge flows until the electric potential energies of both spheres are equal

The potential is $4\sqrt{2}kQ/d$ because the scalar potentials from all four charges add together

The potential is $0$ because the electric field vectors from all four charges cancel out

The potential is $4kQ/d$ because the distance to the center is treated as $d$ for each charge

The potential is $2\sqrt{2}kQ/d$ because only diagonal pairs contribute to the total potential

The new potential is $V/2$ and the new field is $E/4$ because $V \propto 1/r$ and $E \propto 1/r^2$

The new potential is $V/4$ and the new field is $E/2$ because $V \propto 1/r^2$ and $E \propto 1/r$

The new potential is $V/2$ and the new field is $E/2$ because both $V$ and $E$ are proportional to $1/r$

The new potential is $V/4$ and the new field is $E/4$ because both $V$ and $E$ are proportional to $1/r^2$

At $x = D/3$, because the potential from the positive charge cancels the potential from the negative charge

At $x = D/2$, because the zero potential point is always equidistant from two opposite point charges

At $x = 2D/3$, because the potential is zero closer to the charge with the larger magnitude

At $x = D/4$, because the potential varies with the square of the distance from each charge

The kinetic energy decreases by $40 \text{ eV}$ because the particle moves to a higher potential

The kinetic energy increases by $40 \text{ eV}$ because the electric field does positive work

The kinetic energy decreases by $20 \text{ eV}$ because the potential difference is $20 \text{ V}$

The kinetic energy increases by $20 \text{ eV}$ because potential energy is converted to kinetic

It equals $kQ/R$, because the potential is constant throughout a conductor in equilibrium

It equals $2kQ/R$, because the potential increases as the distance to the center decreases

It equals $0$, because the electric field is zero everywhere inside a conductor in equilibrium

It equals $kQ/(2R)$, because the potential decreases as the distance to the center decreases

The potential is $\sqrt{3}kq/s$ because the scalar potentials from the three charges sum algebraically

The potential is $0$ because the contributions from the positive and negative charges cancel out

The potential is $3\sqrt{3}kq/s$ because the magnitudes of the potentials from all charges add up

The potential is $kq/s$ because the effective charge at the center is the net charge $+q$

It is the work done per unit charge by chemical processes to separate positive and negative charges

It is the force exerted per unit charge by the chemical processes on the electrons in the terminals

It is the rate of energy transfer per unit charge as current flows through the internal resistance

It is the total potential energy stored in the battery divided by the mass of the chemical reactants

Both spheres have the same positive electric potential because charge redistributes until potentials equalize

Both spheres have zero electric potential because the positive and negative charges neutralize each other

Sphere A has a positive potential and Sphere B has a negative potential because they retain their original signs

Sphere A has a higher potential than Sphere B because it started with a greater magnitude of charge