all parts (17%) Problem 2: A positive charge of magnitude Q,-8.5 nC is located a

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(17%) Problem 2: A positive charge of magnitude Q,-8.5 nC is located at the origin. A negative charge Q2 =-8.5 nC is located on the positive x-axis at x = 4.5 cm from the origin. The point P is located y = 4.5 cm above charge Q2 Q2 ©theexpertta.com × 17% Part (a) Calculate the x-component of the electric field at point P due to charge Q1. write your answer in units of N/C. Grade Summary Deductions Potential Ex1-1334.6 4% 96% Submissions Attempts remaining: 6 78 9HOME cos) cotan0 asinO acos0 in % per attempt) detailed view atanO acotan sinh0 cosh)tanhO 0% cohO 0 END Degrees O Radians O BACKSPACEL CLEAR Submit Hint Feedback I give up! Hints: 1 for a 2% deduction. Hints remaining: 3 Feedback: 1 for a 2% deduction Ignore the electric field from Q2 for this part of the problem. The answer provided was not correct. We have recognized the following - Your answer appears to be off by a factor of 10, where n is an integer value. Ensure you have represented the number in the correct units 17% Part (b) Calculate the y-component of the electric field at point P due to charge Q1. Write your answer in units of N/C. 17% Part (c) Calculate the y-component of the electric field at point P due to the Charge Q2. Write your answer in units of NC D 17% Part (d) Calculate the y-component of the electric field at point P due to both charges. Write your answer in units of N/C D 17% Part (e) Calculate the magnitude of the electric field at point P due to both charges. Write your answer in units of N/C D 17% Part (f) Calculate the angle in degrees of the electric field at point P relative to the positive x-axis

Explanation / Answer

a) EF due to Q1 at P = kq1/r1^2 = 9*10^9*8.5*10^-9/ (0.045^2 + 0.045^2)

= 18888.89 N/C

x-component = 18888.89*4.5 / sqrt(4.5^2 + 4.5^2)

= 13356.4 N/C

b ) y- component = 18888.89*4.5 / sqrt(4.5^2 + 4.5^2)

= 13356.4 N/C

c) y - component due to Q2 =  9*10^9*8.5*10^-9/ (0.045^2 )

= 37777.78 N/C ( downwards)

d) y- component of EF at point P = 37777.78 - 13356.4 = 24421.37 N/C

e) magnitude = sqrt(13356.4^2 + 24421.37^2) = 27835.17 N/C

f) angle = tan^-1 ( 24421.37 / 13356.4) = 61.32 o from the x-axis in clockwise direction

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