Express your answer using two significant figures. Enter your answers numericall

Question

Express your answer using two significant figures. Enter your answers numerically separated by a comma. Assume that x-axis is directed horizontally to the right, and the y-axis is directed vertically upward.

A) What is the electric field at point 1 in the figure? Give your answer in component form.(Figure 1) Assume that a = 1.5cm ,b = 0.70cm , and q = 5.8nC
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B) What is the electric field at point 2 in the figure? Give your answer in component form.

Express your answer using two significant figures. Enter your answers numerically separated by a comma. Assume that x-axis is directed horizontally to the right, and the y axis is directed vertically upward. What is the electric field at point 1 in the figure? Give your answer in component form.(Figure 1) Assume that a = 1.5cm ,b = 0.70cm , and q = 5.8nC What is the electric field at point 2 in the figure? Give your answer in component form. What is the electric field at point 3 in the figure? Give your answer in component form.

Explanation / Answer

Appy E = kq/r^2

At point 1, the distance is found by the pythagorean theorem

d^2 = (1.5)^2 + (.7)^2

d = 1.66 cm

The angle is found from the tangent function

tan(angle) = 1.5/.7

angle = 65 degrees

The x component = (9 X 10^9)(5.8 X 10^-9)(cos 65)/(.0166)^2

x = 80058 N/C

The y component = (9 X 10^9)(5.8 X 10^-9)(sin 65)/(.0166)^2

y = 171684 N/C

That is 8.0 X 10^4 i + 1.7 X 10^5 j N/C (i and j are x and y)

At point 2, there is only an x component

E = (9 X 10^9)(5.8 X 10^-9)/(.007)^2

E = 1065306 N/C (or 1.07 X 10^6 N/C)

That is 1.1X 10^6 i N/C (i means x)

At point 3, its the same idea as point 1, by the y component points down, so you get...

8.0 X 10^4 i - 1.7 X 10^5 j N/C (i and j are x and y)

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