a charges electric potential energy within an electric field is calculated as the product of the ____ of it's position times the magnitude of it's charge

charges

PE=qV

V-potential

To calculate the electric potential energy of a charged object within an electric field, you need to calculate the product of two quantities. The first quantity is the potential, which depends on the position of the charged object within the electric field. The second quantity is the magnitude of the charge.

Here's how you can calculate the electric potential energy:

1. Determine the potential at the position of the charged object: The electric potential is a scalar quantity measured in volts (V). It represents the electrical potential energy per unit charge at a specific location within an electric field. To calculate the potential, you need to know the strength and distribution of the electric field where the charged object is located. The formula to calculate the potential is V = kQ/R, where V is the potential, k is the electrostatic constant (9 x 10^9 N·m^2/C^2), Q is the magnitude of the charge (in coulombs), and R is the distance from the charge to the reference point (in meters).

2. Multiply the potential by the magnitude of the charge: Once you have determined the value of the potential, you need to multiply it by the magnitude of the charge to calculate the electric potential energy. The charge can be positive or negative, and it is measured in coulombs (C). The formula for electric potential energy is U = Q * V, where U is the electric potential energy, Q is the magnitude of the charge, and V is the potential determined in step 1.

By multiplying the potential by the magnitude of the charge, you obtain the electric potential energy associated with the charged object within the electric field.