Estimating electric field strength

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SUMMARY

The electric field strength at point A is determined to be 500 V/m, directed to the left. This conclusion is based on the formula E = -dV/ds, where the voltage difference (dV) is 12.5V over a distance (ds) of 0.00625m. The calculation involves dividing the initial estimate of 2000 V/m by 4, accounting for the grid's subdivisions. The direction of the electric field aligns with the principle that it points towards decreasing potential.

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1. Estimate the electric field (strength and direction) at the point A.

5cmx5cm gridL
30.P49.jpg




2. E = -dV/ds



3. I had four options, each a combination of 500 or 1000V/m for the E field strength and then left or right for the direction. I knew it must be to the left because the field points in the direction of decreasing potential, but how was the strength obtained (the answer is 500V/m)?

I did E = dV/ds = 12.5V/.00625m = 2000V/m, because point A is 1/8(5cm) from the left side of the grid...
 
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and then I divided by 4 because there are 4 boxes (1/2 of 5cm) between the left side and point A. So 2000V/m/4 = 500V/m.
 

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