Question

Calculate the work that must be done on charges brought from infinity to charge a spherical shell of radius r=0.100 m to a total charge q=125 μC.

A. 2.25 J
B. 4.50 J
C. 9.00 J
D. 18.00 J

Answer 1

To calculate the work done on charges brought from infinity to charge a spherical shell, we need to determine the potential energy of the system. The potential energy is equal to the work done, so we can calculate it using the equation U = k * (q1 * q2) / r, where U is the potential energy, k is the electrostatic constant (9 x 10^9 N*m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges.

Step-by-step explanation:

To calculate the work done on charges brought from infinity to charge a spherical shell, we need to determine the potential energy of the system. The potential energy is equal to the work done, so we can calculate it using the equation:

U = k * (q1 * q2) / r

where U is the potential energy, k is the electrostatic constant (9 x 10^9 N*m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges.

In this case, we have a charge q brought from infinity to charge the spherical shell with radius r and total charge q. So, the work done is:

W = U

Let's calculate it: