exaisA0185pchargens placed at the origin, and a 0.145 ?C charge is placed the x-

Question

exaisA0185pchargens placed at the origin, and a 0.145 ?C charge is placed the x-axis could an additional charge be placed so that the force on this charge (due to the other t at 1.0 m. Where on wo) is zero? Ct 19 a. 0.5304 m b. 0.6146 m C. 0.3980 m d. 0.4304 m e. 0.6297 m f. 0.6549 m SYW: A uniformly-charged rod with length L 0.5 a 1.1.m. Find the electric field Ex at a due to the rod 2.m and total charge q0.000062.C is positioned as shown, with al 20 a. 1115000 N/C b. 845700 N/C C. 1296000 N/C d. 874600 N/C e. 1233000 N/C f. 555400 N/C SYW:

Explanation / Answer

here,

q1 = 1.85 * 10^-7 C is at x1 = 0

q2 = 1.45 * 10^-7 C is at x2 = 1 m

let the electric feild is zero at x3

the electric feild , E = K * q1 /x3^2 - K * q2 /( x2 - x3)^2

as the net force is zero,

electric feild is also zero

0 = K * q1 /x3^2 - K * q2 /( x2 - x3)^2

1.85 /( x3^2) - 1.45 /( 1 - x3)^2 = 0

solving for x3

x3 = 0.53 m

the net force on the third charge is zero at x3 = 0.53 m

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