What is the electric field at point 1 in the figure? Give your answer in compone

Question

What is the electric field at point 1 in the figure? Give your answer in component from (Figure 1) Assume that a = 2.5 cm and b = 4.5 cm Express your answers using two significant figures. Enter your answers numerically separated by a comma. Assume that z-axis decided horizontally to the right, and y-axis is directed vertically upward. What is the electric field at point 2 in the figure? Give your answer in component from Express your answers using two significant figures. Enter your answers numerically separated by a comma. Assume that x-axis is directed horizontally to the right, and y-axis is directed vertically upward. What is the electric field at point 3 in the figure? Give your answer in component from Express your answers using two significant figures. Enter your answers numerically separated by a comma. Assume that x-axis is directed horizontally to the right, and y-axis is directed vertically upward.

Explanation / Answer

magnitude of field due to point charge, |E| = k q / r^2

and direction - > away fromcharge for +ve charge

And towrads the charge if charge is negative.

(A) E1 = k q / a^2 j

= (9 x 10^9 x 10 x 10^-9)/(0.028^2) j

= 1.15 x 10^5 N/C j

E1 = < 0, 1.15e+5 > N/C

(B) E2 = (k q / (a^2 + b^2)) (cos@ i + sin@ j)

cos@ = b / sqrt(a^2 + b^2) and sin@ = a / sqrt(a^2 + b^2)

E2 = {(9x 10^9 x 10 x 10^-9)/ (0.028^2 + 0.045^2)^3/2 } (0.045 i + 0.028 j)

E2 = 2.72 x 10^4 N/C i + 1.69 x 10^4 N/C j

= ( 2.72 x 10^4, 1.69 x 10^4) N/C

(C) E3 = k q / b^2 i

=4.44 x 10^4 i

= (4.44 x 10^-4 , 0 ) N/C

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