A 10.0 nC charge is located at position ( x , y )=(1.0cm,2.0cm). Part A At what

Question

A 10.0 nC charge is located at position (x,y)=(1.0cm,2.0cm).

Part A

At what (x,y) position is the electric field 225,000^ N/C?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Part B

At what (x,y) position is the electric field (161,000^+80,500^) N/C?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Part C

At what (x,y) position is the electric field (21,600^28,800^) N/C?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Explanation / Answer

A)

E = -225,000 i + 0j

for j

0 = (9*10^9*10*10^-9*(y-0.02))/(sqrt((x-0.01)^2+(y-0.02)^2))^(3/2)

y = 0.02 m

for i

225000 = k*q*(x-0.01)/lrl^3

225000 = (9*10^9*10*10^-9*(x-0.01))/( ( (x-0.01)^2+(0.02-0.02)^2) )^(3/2))

225000 = (9*10^9*10*10^-9)/((x-0.01)^2)

x = -0.01 cm

x , y = ( -1cm , 2 cm)

B)

E = 161,000 i + 80,500j

theta = tan^-1(Ey/Ex) = 26.5

Ex = k*q/(xcos26.5-0.01)^2

x = 0.0376 m = 3.76 cm

Ey = k*q/(ycos26.5-0.02)^2

y = 0.06 = 6 cm

++++++++++++++++++

C)

theta = tan^-1(-288000/216000) = 53.1

Ex = k*q/(xcos53.1-0.01)^2

x = 5 cm

Ey = k*q/(ycos53.1-0.02)^2

y = -6 cm

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