Question

Two point charges are located on the x-axis. One has a charge of 1.85 ?C and...

Two point charges are located on the x-axis. One has a charge of 1.85 ?C and is located at x = 0.0 m, and the other has a charge of -3.95 ?C and is located at x = 16.9 m. At what location on the x-axis (other than at infinity) would the electric force on a third point charge of 3.32 ?C be zero?

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Answer #1

Since Q1= 1.85 ?C and Q2= -3.95 ?C are opposite in sign there is no place between them where the force would be zero

Since Q2>Q1 the only point where the force will be zero is to the left of Q1

Now we find the point where the net electric filed is zero.

Let x be the distance from Q1 and x + 16.9 is the distance from Q2

Using E = k*q/r2

k*Q1/x2 = k*Q2/(x + 16.9)2

1.85 ?C/x2 = 3.95 ?C/(x + 16.9)2

Rearranging , we get 0.46= x2/(x + 16.9)2

0.68=x/(x + 16.9)

0.68(x + 16.9)=x

0.68x+11.57=x

11.57= x-0.68x

11.57= 0.32x

x= 36.16 m

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