Please provide steps, units, and provide answer in the nearest four decimal plac

Question

Please provide steps, units, and provide answer in the nearest four decimal places.
Question 9 (1 point) Two point charges, q: +13 nC and q2=-4 nC, are located on the x-axis at x= 0 and x-7 m. What is the distance of ZERO electric field from the positive charge? Your Answer: Answer Save Question 10 (1 point) In a right angle, AB 2 m, and angle ACB is 63.43 Degree. A point charge of 2* 4 nC is placed at point A and another point charge -3* 4 nC is placed at point C Calculate the POTENTIAL at B Your Answer: Answer units Save

Explanation / Answer

9.

Electric field is given by:

E = kQ/R^2

Suppose electric field is zero at d distance from positive charge towards the left side of positive charge, then

Enet = E1 + E2 = 0

E1 = -E2

kq1/r1^2 = kq2/r2^2

r1 = d

r2 = 7 + d

q1/r1^2 = q2/r2^2

13/d^2 = 4/(7 + d)^2

Solving bove equation

d = -4.5025 m

Suppose electric field is zero at d distance from positive charge towards the right side of positive charge, then

kq1/r1^2 = kq2/r2^2

r1 = d

r2 = d - 7

q1/r1^2 = q2/r2^2

13/d^2 = 4/(d - 7)^2

Solving bove equation

d = 15.7197 m

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