(a) Find the electric potential difference
V B − V A
due to a point charge
q 1 = −2.65 nC
that is
0.250 m
from location A and
0.410 m
from location B.
V
(b) A charge q 2 moving from B to A gains in kinetic energy. What is the sign of this charge?
positive
negative
(a) To find the electric potential difference (V) between location B and location A due to a point charge q1, we can use the formula for electric potential:
V = k * (q / r)
where V is the electric potential difference, k is the electrostatic constant (8.99 × 10^9 N·m^2/C^2), q is the charge, and r is the distance between the charge and the location where we want to find the potential difference.
Since q1 = -2.65 nC (negative charge), we can substitute the given values into the formula:
V = (8.99 × 10^9 N·m^2/C^2) * (-2.65 × 10^-9 C) / (0.250 m)
Calculating this expression will give us the electric potential difference V between location B and location A.
(b) If a charge q2 moving from B to A gains kinetic energy, it means that work is being done on the charge by an external force. In order for work to be done on the charge and for it to gain kinetic energy, the charge itself must have a negative sign.
Therefore, the sign of charge q2 is negative.