Electric field question?

Always start with a clear diagram. These are messy, so I don't guarantee the arithmetic.

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Find the field at P due to q1:

E1 = kq1/r^2 = 8.99x10^9 x -5.00x10^-9/(0.04^2)

= -2.809x10^4 V/m

Note the direction of E2; a positive charge at P would move in the -y direction.

In component form E1 = (0i -2.809x10^4j) V/m

This should be rounded to 3 signifincat figures (same as the data in the question):

E1 = (0i -2.81x10^4j) V/m

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Find the field at P due to q2:

From your diagram, you will see the distance from q2 to P = 5cm(=0.05m) as there is a 3/4/5 triangle.

E2 = kq1/r^2 = 8.99x10^9 x 3.00x10^-9/(0.05^2)

= 1.079x10^4 V/m

Note the direction of E2; a positive charge at P would have components in the +y and -x directions

E2 makes an angle A with the -x direction where cos(A) = 3/5 and sin(A)=4/5.

Component of E2 in -x direction = E2cos(A) = 1.079x10^4 x 3/5 =6.474x10^3 V/m

Component of E2 in +y direction = E2sin(A) = 1.079x10^4 x 4/5 =8.632x10^3 V/m

In component from E2 = (-6.474x10^3i + 8.632x10^3j) V/m

This should be rounded to 3 signifincat figures (same as the data in the question):

E2 = (-6.47x10^3i + 8.63x10^3j) V/m

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