At a point in space

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

At a point in space, a +1.5 μC+1.5\,\mu\text{C} charge is subject only to an electric interaction and experiences a force given by the vector F⃗=(0.060 ı^−0.040 ȷ^) N\vec F = (0.060\,\hat{\imath} - 0.040\,\hat{\jmath})\,\text{N}, where ı^\hat{\imath} and ȷ^\hat{\jmath} are unit vectors along the xx- and yy-axes, respectively. (a) Determine the xx- and yy-components of the electric field vector at that point. (b) Calculate the magnitude of the electric field at that point. (c) Find the angle that the electric field makes with the positive xx-axis, measured counter-clockwise. Present your answer in degrees to an appropriate number of significant figures.

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