A spherical surface has a radious of .150 meters. A charge of +85.0 uC is placed on the sphere.
A. decribe what happens to the electric potential of a -5.0 pC charge that is moved from a very far distance from the sphere to a point 0.100 meters away from the sphere.
B. Decribe what happens to the electrical potential energy of the -5.0 p
Describe? Goodness
a) potential= kQ/r where r=.250microC
b) don't know, question incomplete.
B. Decribe what happens to the electrical potential energy of the -5.0 pC charge as it is moved the distance described in A.
To answer these questions, we need to understand the basic concepts of electric potential and electric potential energy.
A. Electric potential (V) is a measure of the electric potential energy per unit charge at a given point in the electric field. Electric potential is directly proportional to the amount of charge (q) creating the field and inversely proportional to the distance (r) from the charge.
In this case, a charge of +85.0 µC is placed on the sphere, creating an electric field. When we move a -5.0 pC charge from a very far distance to a point 0.100 meters away from the sphere, we need to consider the change in electric potential.
To calculate the electric potential at the point 0.100 meters away, we can use the formula:
V = k * q / r
where V is the electric potential, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q is the charge, and r is the distance.
In this case, q = -5.0 pC = -5.0 x 10^-12 C (converting from picocoulombs to coulombs) and r = 0.100 meters.
So, we have:
V = (9 x 10^9 Nm^2/C^2) * (-5.0 x 10^-12 C) / (0.100 m)
Calculating this, we find the electric potential at the point 0.100 meters away from the sphere.
B. Electric potential energy (PE) is the energy that a charge possesses due to its position in an electric field. It depends on the charge (q) and the electric potential (V). The formula to calculate it is:
PE = q * V
In this case, we have a charge of -5.0 pC and the electric potential calculated in part A.
PE = (-5.0 x 10^-12 C) * (electric potential from part A)
Calculating this will give us the electrical potential energy of the -5.0 pC charge.
Please note that the values given are hypothetical and do not represent actual observations or measurements.