Four identical charged particles (q = +17.0 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 56.0 cm and W = 12.0 cm. Calculate (in J) the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position.
Four identical charged particles (q = +17.0 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 56.0 cm and W = 12.0 cm. Calculate (in J) the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position.
Given
The magnitude of the charge is q = 17 µC = 17 x 10-6 C.
The width of the rectangle is W = 12 cm = 12 x 10-2 m.
The length of the rectangle is L = 56 cm = 56 x 10-2 m.
The schematic diagram of the charges is shown as,
The potential difference at C due to B is calculated as,
Here, k is the Coulomb constant whose value is 9 x 109 Nm2/C2.
Substitute the known values.
The potential difference at C due to D is calculated as,
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