A particle with charge q = 5 mu C is located at the origin of the coordinate sys

Question

A particle with charge q = 5 mu C is located at the origin of the coordinate system shown in the figure. Point A is located at (3, 4) m. If (x_A, y_A) are the coordinates of point A, select the correct expression for the electric potential V_A at point A in terms of the symbols given. Calculate the value of the electric potential at point A, in volts. Select the correct expression for the magnitude of electric field E_A at point A in terms of the symbols given. Calculate the value E_A, in newtons per coulomb.

Explanation / Answer

Here,

part a) for the potential at the point A

electric potetial VA = k * q/r

electric potetial VA = k * q/sqrt(xA^2 + yA^2)

part b)

at the point A

electric potetial VA = k * q/sqrt(xA^2 + xB^2)

electric potetial VA = 9 *10^9 * 5 *10^-6/srqt(3^2 + 4^2)
electric potetial VA = 9000 V

part c)

for the electric field at the point A

electric field EA = k * q/r^2

electric field EA = k * q/(xA^2 + yA^2)

part d)

electric field EA = 9 *10^9 * 5 *10^-6/(3^2 + 4^2)
electric field EA = 1800 N/C

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