Problem 4 4 of 5 > Suppose Q1 5.0 nC and Q2 8.0 nC (Figure 1). You may want to r

Question

Problem 4 4 of 5 > Suppose Q1 5.0 nC and Q2 8.0 nC (Figure 1). You may want to review (Pages 631-635) Part A What is the strength of the electric field at the position indicated by the dot in (Figure 1)? Express your answer with the appropriate units. EValue Units Submit Part B What is the direction of the electric field at the position indicated by the dot in (Figure 1)? Specify the direction as an angle measured counterclockwise from the positive axis. Figure 1 of 1 5.0 cm 10 cm Submit Provide Feedback Next > rt

Explanation / Answer

E1 = k*Q1/0.05^2

= 8.98*10^9*5*10^-9/0.05^2 = 17960 V/m in direction of + x axis

E2 = k*Q2

= 8.98*10^9*8*10^-9/(0.05^2+0.1^2)^2 = 718.4 V/m = 5747.2

direction is cot^-1(0.05/0.1) = -63.43 ° with - x axis = 243.43° with + x axis.

E1+E2 = ( 17960 + 5747.2*cos243.43, 0 + 5747.2*sin243.43) = (15389, - 5140)

magnitude = (15389^2+5147^2) = 16226.91V/m

direction is = tan^-1(-5147/15389) = 18.493° below + x axis.

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