Question

A charge 1 is 1.1X10-5 C. Another charge 2 is 10-6 C and is 5metes away. If charge 2 is moved in a straight line towards charge 1 to 4meters away How much work is required to move charge 2

Answer 1

The work required to move charge 2 towards charge 1 can be calculated using the formula: Work = Force x Distance. Calculate the electric force between the charges using the formula: Force = (k * |q1 * q2|) / r^2, where k is the electrostatic constant, q1 and q2 are the charges, and r is the distance. Then, calculate the work by multiplying the magnitude of the force by the distance.

Step-by-step explanation:

To calculate the work required to move charge 2 towards charge 1, we can use the formula:

Work = Force x Distance

First, let's calculate the electric force between the two charges using the formula:

Force = (k * |q1 * q2|) / r^2

Where k is the electrostatic constant (9 x 10^9 N m^2/C^2), q1 and q2 are the charges of the two charges, and r is the distance between the charges.

Plugging in the values:

Force = (9 x 10^9 N m^2/C^2 * |1.1 x 10^-5 C * 10^-6 C|) / (5 m)^2

Now, calculate the work:

Work = (Force x Distance)

Work = (Force x (4 m - 5 m))

Make sure to take into account the direction of the force. Since charge 2 is being moved towards charge 1, the force will be negative, indicating work is being done on charge 2.

Therefore, the work required to move charge 2 is the magnitude of the force multiplied by the distance, and the force is negative because it is acting opposite to the direction of motion.

Answer 2

The work required to move charge 2 towards charge 1 is calculated using the change in electric potential energy, which depends on the charge values and distances before and after the move.

Step-by-step explanation:

To calculate the work required to move charge 2 towards charge 1, we can use the concept of electric potential energy in the context of Coulomb's law. The formula for electric potential energy (U) is U = k * Q1 * Q2 / d, where 'k' is Coulomb's constant (8.99 x 109 Nm2/C2), 'Q1' and 'Q2' are the point charges, and 'd' is the distance between them.

The work done is equal to the change in electric potential energy as charge 2 moves from 5 meters to 4 meters away from charge 1. Initially, Uinitial = k * Q1 * Q2 / dinitial, and finally, Ufinal = k * Q1 * Q2 / dfinal. The work done, W, is then W = Ufinal - Uinitial.

Plugging in values, we have Q1 = 1.1 x 10-5 C and Q2 = 10-6 C. Hence, work done to move another charge can be calculated as follows:

W = (8.99 x 109 Nm2/C2 * 1.1 x 10-5 C * 10-6 C / 4 m) - (8.99 x 109 Nm2/C2 * 1.1 x 10-5 C * 10-6 C / 5 m).

Completing the calculation will give the amount of work required to move charge 2 towards charge 1.