20 positively charged particles are kept fixed on the X-axis at points x = 1 m, 2 m, 3 m, ....., 20 m. The first particle has a charge 1.0 × 10 –6 C, the second 8 × 10 –6 C, the third 27 × 10 –6 C and so on. Find the magnitude of the electric force acting on a 1 C charge placed at the origin.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
( 
= 1.89 × 10 6 N)
Sol.
q 1 = 1 × 10 –6 C, q 2 = 8 × 10 –6 C, q 3 = 27 × 10 –6 C, ........................q 20 = 20 3 × 10 –6 C
∴ 
+ ............................+ 
= 
+ .........................+ 
= kq 0 
= 9 × 10 9 × 1 
= 9000 [1 + 2 + 3 + ........................+ 20]
= 1890000 = 1.89 × 10 6 N
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