Question

Si hay una carga en el origen de 2. 3?C, ¿dónde se debería colocar una carga de -1.2 ?C para que la fuerza en la carga del origen sea 1.5N%?

If there is a load at the origin of 2. 3?C, where should a load of -1.2 ?C be placed so that the force at the origin load is 1.5N%?

Answer 1

Electrostatic force is given by:

F = k*q1*q2/d^2

q1 = 2.3 C = 2.3*10^-6 C

q2 = -1.2 C = -1.2*10^-6 C

d = distance between both charges = ?

F = attractive force between both charges = 1.5 N

k = electrostatic force constant = 9*10^9

So,

d^2 = k*q1*q2/F

d^2 = 9*10^9*2.3*10^-6*1.2*10^-6/1.5

d^2 = 0.01656

d = sqrt (0.01656) = 0.1287 m

Since first charge is at origin, So second charge should be at x = 0.1287 m = 12.87 cm

In two significant figures

x = 0.13 m = 13 cm