Question

consider four equal charges q1 q2 q3 and q4 = q =+ 1 microcoulomb located at four different points on a circle of radius 1m .calculate the total force acting on the charge q1 due to the all other charges ​

Answer 1

3k N is the required answer

Answer 2

Concept:

• Coulombic forces
• Vector addition of forces

Given:

• q1 = q2 = q3 = q4 = 1 microcoulomb = 1*10^-6
• Charges were placed on 4 different points on a circle of radius r= 1m

Find:

• The total force acting on the charge q1 due to all other charges

Solution:

F1 = kq1q2/(r√2)²

k = 9*10^9

F1 = 4.5*10^-3 N

F2 = kq1q2/(r√2)²

F2 = 4.5*10^-3 N

F3 = kq1q3/(2r)² =

F3 = 2.25*10^-3 N

Fnet = F3 + $\sqrt{F1^{2} +F2^{2} }$

Fnet = 8.6*10^-3 N

The total force acting on the charge q1 is 8.6*10^-3 N.

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