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Quiz 3 - Uniform Line Charge

A uniform line charge 1 (parallel to x axis), ρL1=2πεo10nC/m, crosses the y-z plane at y=1 and z=0, while another line charge 2 (again parallel to x axis), ρL2=2πεo20nC/m, crosses the y-z plane at y=0, z=2 (Figure below shows the geometry).

(a) Find the electric field E1 (magnitude and direction) at the origin due to line charge 1.

(b) Find the electric field E2 (magnitude and direction) at the origin due to line charge.

(c) Find the total electric field E = E1 + E2 at the origin.

(d) Find the magnitude and direction of the force F that this field will exert on a negative charge Q=5nC placed at the origin. (Hint: Start with the expression for the field due to a line charge in the cylindrical coordinates, and then plug in for various quantities. Write unit vector ρ of cylindrical system in terms of unit vectors of Cartesian system x, y, z, making it easier to add the fields).



Physics key words: EM, transmission line electricity and magnetism, physics quiz, solutions, uniform line charge, wavelength, lambda, electric field, vector, magnitude.


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