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What are the strength and direction of the electric field at the position indica

ID: 1267626 • Letter: W

Question

What are the strength and direction of the electric field at the position indicated by the dot in figure?

Give your answer in terms of the horizontal and vertical components. Take the positive directions to be up and to the right.

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

Ex, Ey = ________________ N/C

Part B)

Give your answer as a magnitude and angle measured from the positive x-axis.

Express your answer using two significant figures.

E = _____________________ N/C

Part C

Express your answer using three significant figures.

? = __________________ clockwise from the +x-axis

Explanation / Answer

Well I actually just think I might be on the right track for these parts at least...though honestly I'm really quite confused still, having not done anything like this in years (you'll see that from my work, I'm sure...). My work:

<Note: I've labeled the charges as such: E1 is for the field from the lower left charge, E2 from the upper left, and E3 from the upper right>

E_netx = E_1x + E_2x

E_1x = 9*10^9 * 5*10^-9 / 0.02^2 = 112500 N/C

E_2x = 9*10^9 * 10*10^-9 * cos(63.4degrees) / 0.045^2 = 1990 N/C

Therefore E_netx = 114490 N/C


E_nety = E_2y + E_3y

E_2y = 9*10^9 * 10*10^-9 * cos(26.6) / 0.045^2 = 3974 N/C

E_3y = 9*10^9 * (-5*10^-9) * cos(0) / 0.04^2 = -28125

Therefore E_nety = 3974 - 28125 = -24151 N/C

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