Final answer:
The electric potential at a radius from a charge can be calculated using Coulomb's law formula V = k * q / r, where V is the potential, k is Coulomb's constant, q is the charge, and r is the distance from the charge.
Step-by-step explanation:
To find the electric potential at a certain radius from the center of a charged cylinder or sphere, you can use the formula for electric potential due to a point charge:
V = k * q / r,
where V is the electric potential, k is Coulomb's constant (approximately 8.99 × 109 N·m2/C2), q is the charge, and r is the distance from the charge to the point of interest.
For the specific example of a -10 nC charge (which is -10 × 10-9 C), at a radius of 10 cm from the charge, the electric potential can be calculated as follows:
V = (8.99 × 109 N·m2/C2) * (-10 × 10-9 C) / 0.10 m
This will give you the electric potential in volts at the specified radius from the charged cylinder or sphere.