In the figure below, six charged particles surround particle 7 at radial distanc
ID: 2273063 • Letter: I
Question
In the figure below, six charged particles surround particle 7 at radial distances of either d = 1.0 cm or 2d, as drawn. The charges are q1 = +2e, q2 = +5e, q3 = +e, q4 = +6e, q5 = +4e, q6 = +4e, q7 = +8e, with e = 1.60*10^-19 C. What is the magnitude of the net electrostatic force on particle 7?
answer should be in N
In the figure below, six charged particles surround particle 7 at radial distances of either d = 1.0 cm or 2d, as drawn. The charges are q1 = +2e, q2 = +5e, q3 = +e, q4 = +6e, q5 = +4e, q6 = +4e, q7 = +8e, with e = 1.60*10^-19 C. What is the magnitude of the net electrostatic force on particle 7?Explanation / Answer
x componnet of electric filed at the center,
Ex = k*q1/d^2 - ( k*q3/d^2 + k*q4/(2*d)^2)
= k/d^2 *(q1 - q3 - q4/4)
= k/d^2 *(2*e - e - 6*e/4)
= 9*10^9/0.01^2 *(-0.5*1.6*10^-19)
= -7.2*10^-6 N/c
Ey = ( k*q5/d^2 + k*q6/(2*d)^2) - k*q2/d^2
= k/d^2 *(q5 + q6/(2*d)^2 - q2)
= k/d^2 *(4*e + e - 5*e)
= 0
E = Ex + Ey = -7.2*10^-6 N/c
F = q7*E
= 8*1.6*10^-19*7.2*10^-6 N
= 9.216*10^-24 N
direction, towards +x axis