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Problem: A positive charge of magnitude Q1 = 9.5 nC is located at the origin. A negative charge Q2 = - 6.5 nC is located on the positive x-axis at x = 3.5 cm from the origin. The point P is located y = 4.5 cm above charge Q2.Part a. Calculate the x-component of the electric field at point P due to charge Q1. Write your answer in units of N/CPart b. Calculate the y-component of the electric field at point P due to the Charge Q1. Write your answer in units of N/CPart c. Calculate the y-component of the electric field at point P due to the Charge Q2. Write your answer in units of N/CPart d. Calculate the y-component of the electric field at point P due to both charges. Write your answer in units of N/C.Part e. Calculate the magnitude of the electric field at point P due to both charges. Write your answer in units of N/CPart f. Calculate the angle in degrees of the electric field at point P relative to the positive x-axis

FREE Expert Solution

Electric field:

E=kqr2

2D vectors, Magnitude & Direction/Components:

|E|=Ex2+Ey2

tanθ=EyEx

Ex=|E| cos θEy=|E| sin θ

Part a.

A diagram showing the direction of the vectors and angles will make our work easier.

E1x = E1cosθ = kQ1/R2•cosθ

Using Pythagoras theorem:

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Problem Details

A positive charge of magnitude Q1 = 9.5 nC is located at the origin. A negative charge Q2 = - 6.5 nC is located on the positive x-axis at x = 3.5 cm from the origin. The point P is located y = 4.5 cm above charge Q2.
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
Part b. Calculate the y-component of the electric field at point P due to the Charge Q1. Write your answer in units of N/C
Part c. Calculate the y-component of the electric field at point P due to the Charge Q2. Write your answer in units of N/C
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.
Part e. Calculate the magnitude of the electric field at point P due to both charges. Write your answer in units of N/C
Part f. Calculate the angle in degrees of the electric field at point P relative to the positive x-axis

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