Question

How far from a (1.00 , mu C) point charge will the potential be (100 V)?

A) (1.00 m)
B) (2.00 m)
C) (0.50 m)
D) (0.25 m)

Answer 1

The distance from the point charge where the potential is 100 V is approximately 0.09 meters.

Step-by-step explanation:

To find the distance from a point charge where the potential is a certain value, we can use the equation for electric potential:

V = k * (q / r)

where V is the potential, k is the electrostatic constant, q is the charge, and r is the distance. Rearranging the equation to solve for r, we get:

r = k * (q / V)

For the given charge of 1.00 µC and a potential of 100 V, we can plug these values into the equation:

r = (9.00 × 10^9 N·m^2/C^2) * (1.00 × 10^-6 C / 100 V) ≈ 0.09 m

Therefore, the distance from the point charge where the potential is 100 V is approximately 0.09 meters.