a) q1= -9 x 10^ -5 q2= 1.4 x 10^-4 distance between q1and q2 = d = 0.2m Fine Ele

Question

a) q1= -9 x 10^ -5 q2= 1.4 x 10^-4 distance between q1and q2 = d = 0.2m Fine Electric field = 0 and Voltage = 0 along the line connecting the charge b) q1= 9 x 10^ -5 q2= 1.4 x 10^-4 distance between q1and q2 = d = 0.2m Fine Electric field = 0 and Voltage = 0 along the line connecting the charge

Explanation / Answer

a) E = 0 let the point is at a distance r from the q1 kq1/r12 + kq2/r22 = 0 => -9 * 10-5 / r2 = -1.4 * 10-4 / (r+0.2)2 => ((r+0.2)/r)2 = 10/9 => (r+0.2)/r = 1.05 => 1.05r = r + 0.2 => 0.05r = 0.2 => r = 4m so at a distance 4m left of charge q1 V = 0 a) V = 0 let the point is at a distance r between the two kq1/r1 + kq2/r2 = 0 => -9 * 10-5 / r = -1.4 * 10-4 / (r-0.2) => ((r-0.2)/r) = 10/9 => (r-0.2)/r = 1.11 => 1.11r = r - 0.2 => 0.11r = -0.2 => r = -0.180 m so at a distance 0.180m left of charge q1 similarly calculate for b) part

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