An isolated point charge Q is fixed at the origin of a coordinate system in deep space. A sensor consisting of a +5.0×10−9C test charge is placed at the point (0.40m, 0). The sensor experiences an electric force of 2.8×10−4N directed toward the negative x-direction.
a. Part 1: Calculate the magnitude of Q.
b. Part 2: Determine the algebraic sign of Q and justify your answer using the given information.
c. Part 3: Find the magnitude of the electric field at the sensor’s location.