Problem 23.36 What are the strength and direction of the electric field at the p

Question

Problem 23.36 What are the strength and direction of the electric field at the position indicated by the dot in figure(Figure Figure 1 of 1 10 nC 4.0 cm 2.0 cm 5.0 nC 10 nC Part A Give your answer in terms of the horizontal and vertical components. Take the positive directions to be up and to the right. Express your answer using two significant figures. Enter your answers numerically separated by a comma. Ez, Ey NAC Submit My Answers Give Up Part B Give your answer as a magnitude and angle measured from the positive x-axis Express your answer using two significant figures. N/C Submit My Answers Give Up

Explanation / Answer

A)
let

q1 = 10 nc (top right)

q2 = 10 nc (lower left)

q3 = -5 nc

Ex = -(k*q1/0.04^2 + k*q2/(0.04^2 + 0.02^2)*4/sqrt(4^2 + 2^2) )

= -(9*10^9*10*10^-9/0.04^2 + 9*10^9*10*10^-9/(0.04^2 + 0.02^2)*(4/sqrt(4^2 + 2^2)) )

= -9.65*10^4 N/c

Ey = k*q3/0.02^2 + k*q2/(0.04^2 + 0.02^2)*4/sqrt(4^2 + 2^2) )

= -9*10^9*5*10^-9/0.02^2 + 9*10^9*10*10^-9/(0.04^2 + 0.02^2)*(2/sqrt(4^2 + 2^2))

= -9.24*10^4 N/c

B) E = sqrt(Ex^2 + Ey^2)

= sqrt(9.65^2 + 9.24^2)*10^4

= 1.34*10^5 N/c

C) theta = tan^-1(Ey/Ex)

= tan^-1(9.24/9.65)

= 43.7 degrees below -x axis

= 133.7 degrees with +x axis in closkwise direction.

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