Part A) What is the x-component of the electric field at the position (x, y) = (

Question

Part A) What is the x-component of the electric field at the position (x, y) = (4.7cm , 0cm)?

Part B) What is the y-component of the electric field at the position (x, y) = (4.7cm , 0cm)?

Part C) What is the x-component of the electric field at the position (x, y) = (-4.7cm , 0cm)?

Part D) What is the y-component of the electric field at the position (x, y) = (-4.7cm, 0cm)?

Part E) What is the x-component of the electric field at the position (x, y) = (0cm, 4.7cm )?

Part F) What is the y-component of the electric field at the position (x, y) = (0cm, 4.7cm)?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

E = kq / r^2

A)

E = 9*10^9*15*10^-9 / ((4.7-1.4)^2*10^-4) = -123966.94 i N/C

E = 1.2 * 10^5 N/C

B)

Ey = 0

C)

E = 9*10^9*15*10^-9 / ((4.7+1.4)^2*10^-4) = 36280.57 i N/C

E = 3.6 * 10^4 N/C

D)

Ey = 0

E)

E = 9*10^9*15*10^-9 / ((4.7^2+1.4^2)*10^-4) = 56133.056 * cos(theta) i - sin(theta) j

theta = arctan(4.7/1.4 ) = 73.41 deg

Ex = 56133.056*cos(73.41 deg) = 16027.172 i N/C

Ex = 1.6*10^4 N/C

F)

Ey = 56133.056*sin(73.41 deg) = 53796.3 (-j) N/C

Ey = 5.4 * 10^4 N/C

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