Take a point charge + 5 n C at x = -1 and a point charge + 5nC at x = 1. We will

Question

Take a point charge + 5 n C at x = -1 and a point charge + 5nC at x = 1. We will use the following for the electric field and potential at some point P on they y - axis at y = 3. Find the length of the distance r_1 from the 5 n C charge at x = -1 to the point P. Use the Pythagoras theorem or the distance formula, whichever you feel more comfort table with Find the length of the distance r_2 from the 5 nC charge at x = 1 to the point P. Use the Pythagorean theorem or the distance formula. Find the contribution V_1 to the electric potential at P from the 5 nC charge at x = 1. Find the contribution V_2 to the electric potential at P from the 5nC charge at x = 1.

Explanation / Answer

1.

X = -1 , Y = 3

r1 = sqrt(X2 + y2) = sqrt((-1)2 + 32) = 3.2 m

2.

X = 1 , Y = 3

r2 = sqrt(X2 + y2) = sqrt((1)2 + 32) = 3.2 m

3.

V1 = k q1/r1 = (9 x 109) (5 x 10-9) / 3.2 = 14.1 volts

4.

V2 = k q2/r2 = (9 x 109) (5 x 10-9) / 3.2 = 14.1 volts

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