A charge located at the origin in free space produces a fields for which Ez=2kV/m at point P(-2, 4, -1). a. Find Q (in µC). b. Find E at D(3, 4, 2) in cartesian coordinates system. Kindly type/input the coefficients. c. Find E at D(3, 4, 2) in cylindrical coordinates system. Kindly type/input the coefficients. d. Find E at D(3, 4, 2) in spherical coordinates system. Kindly type/input the coefficients. Please show complete solution, thank you!

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A charge located at the origin in free space produces a fields for which Ez=2kV/m at point P(-2, 4, -1).

a. Find Q (in µC).

b. Find E at D(3, 4, 2) in cartesian coordinates system. Kindly type/input the coefficients.

c. Find E at D(3, 4, 2) in cylindrical coordinates system. Kindly type/input the coefficients.

d. Find E at D(3, 4, 2) in spherical coordinates system. Kindly type/input the coefficients.

Please show complete solution, thank you!

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