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In the figure, four charges, given in multiples of 8.0010 -6 C form the corners

ID: 2126129 • Letter: I

Question

In the figure, four charges, given in multiples of 8.0010-6 C form the corners of a square and four more charges lie at the midpoints of the sides of the square. The distance between adjacent charges on the perimeter of the square is d = 5.8010-2 m. What are the magnitude and direction of the electric field at the center of the square? The magnitude of E?

In the figure, four charges, given in multiples of 8.00 times 10-6 C form the corners of a square and four more charges lie at the midpoints of the sides of the square. The distance between adjacent charges on the perimeter of the square is d = 5.80 times 10-2 m. What are the magnitude and direction of the electric field at the center of the square? The magnitude of E?

Explanation / Answer

The contribution to E is inversely proportional to the square of the distance
The contribution to E is proportional to the amount of charge.
Each of the eight charges is contributing to the E field in a different direction. Each contribution must be treated as a vector and the contribution in the X and Y direction calculated independently.
Then adding all the X contributions separately from the Y contributions will allow offsetting contributions to cancel each other out.
The magnitude of E=0.125
The X component of the field is 0.105.
The Y component of the field is -0.066
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