Two point charges, q1 and q2, are placed 0

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Two point charges, q₁ and q₂, are placed 0.30 m apart on the x-axis, as shown in the figure above. Charge q₁ has a value of -3.0 x 10^-9 C. The net electric field at point P is zero.

Part A     What is the sign of charge q₂? Justify your answer.

Part B Calculate the magnitude of charge q₂.

Part C   Calculate the magnitude of the electric force on q₂ and indicate its direction.

Part D   Determine the x-coordinate of the point on the line between the two charges at which the electric potential is zero.

Part E

How much work must be done by an external force to bring an electron from infinity to the point at which the electric potential is zero? Explain your reasoning.