1) What is the strength of the electric field at the position indicated by the d

Question

1) What is the strength of the electric field at the position indicated by the dot in the figure(Figure 1) ?

What is the strength of the electric field at the position indicated by the dot in the figure(Figure 1) ? Express your answer using two significant figures. E = _____ N/C. What is the direction of the electric field at the position indicated by the dot in the figure? (Assume that axis is horizontal and points to the right.) Express your answer using two significant figures. =_______ degres sclockwise from the +x-axis

Explanation / Answer

Here are the individual electric fields in vector notation:

||E(1)|| = kq/r^2 = (8.99e9 N*m^2/C^2)(10e-9 C)/(3.0e-2 m)^2 = 1.0e5 N/C
E(1) = <0, 1.0e5>

||E(2)|| = (8.99e9 N*m^2/C^2)(5.0e-9 C)/(5.0e-2 m)^2 = 1.8e4 N/C
E(2) = <-1.8e4, 0>

r = sqr(3^2 + 5^2) = 5.83 cm
||E(3)|| = (8.99e9 N*m^2/C^2)(10e-9 C)/(5.83e-2 m)^2 = 2.6e4 N/C
? = arctan(3/5) = 30.96

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