A positive charge of magnitude Q_1 = 8.5 nC is located at the origin. A negative

Question

A positive charge of magnitude Q_1 = 8.5 nC is located at the origin. A negative charge Q_2 = 8.5 nC is located on the positive x-axis at x = 8.5 cm from the origin. The point P is located y = 16.5 cm above charge Q_2. Calculate the x-component of the electric field at point P due to charge Q_1. Write your answer in units of N/C. Calculate the y-component of the electric field at point P due to charge Q_1. Write your answer in units of N/C. Calculate the y-component of the electric field at point P due to the Charge Q_2. Write your answer in units of N C. Calculate the y-component of the electric field at point P due to both charges. Write your answer in units of N/C. Calculate the magnitude of the electric field at point P due to both charges. Write your answer in units of N/C. Calculate the angle in degrees of the electric field at point P relative to the positive x-axis.

Explanation / Answer

1)
X component of the field due to Q1
(KQ1/R²) cos = (KQ1/R²)*( y/R)

R = (8.5² + 16.5²) = 18.56 cm = 0.1856 m

= (9e9*8.5e-9*0.165) /(0.1856^3) = 1974.3 N/C

2)
Y component of the field due to Q1

(KQ1/R²) sin = (KQ1/R²)*( x/R)

= 1974.3*0.085/0.165 = 1017.1 N/C

3) 0

4)
Total field along the y axis .
(KQ2/y²) = - 9e9*8.5e-9/0.165² = -2809.9 N/C

5)
Net field at the point P
[1974.3² + (-2809.9+1974.3)²] = 2143.85 N/C

6)

2143.85cos = 1974.3 => = 22.94º

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