Question

Find E_y the y-component of the total electric field at P. Find the magnitude and direction of the total electric field at P Find the total electrical potential energy between the 5 nC and 7 nC charges Take a point charge + 5 nC at x = -1 and point charge +7 nC at x = 2 Now there is a point charge + 4 nC on the y-axis at y = 3: Find the length of the distance r_1 between the 5 nC charge and the 4 nC charge. Use the Pythagorean theorem or the distance formula, whichever you feel more comfortable with Find the length of the distance r_2 between the 7 nC charge and the 4 nC charge. Use the Pythagorean theorem or the distance formula.

Answer 1

(1) From Pythagorean theorem, Distance between 5nC and 4nC charge is

$r_{1}= \sqrt{x_{1}^{2} + y_{3}^{2}}= \sqrt{(-1)^{2}+3^{2}} = 2m$

(2) From Pythagorean theorem, Distance between 7nC and 4nC charge is

$r_{2}= \sqrt{x_{2}^{2} + y_{3}^{2}}= \sqrt{2^{2}+3^{2}} = \sqrt{13}m$

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