At a location four discrete electric-field vectors produced by nearby charges are…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

At a location PP four discrete electric-field vectors produced by nearby charges are recorded as follows: • 5 N/C5\,\text{N/C} north • 3 N/C3\,\text{N/C} east • 4 N/C4\,\text{N/C} directed 45∘45^{\circ} south of west • 2 N/C2\,\text{N/C} directed 45∘45^{\circ} north of west Taking these four vectors into account, which of the following is the best estimate of the magnitude and overall direction of the net electric field at PP? (a) 5.8 N/C5.8\,\text{N/C} directed about 30∘30^{\circ} west of north (b) 4.2 N/C4.2\,\text{N/C} directed 45∘45^{\circ} east of north (c) 3.8 N/C3.8\,\text{N/C} directed about 20∘20^{\circ} west of north (d) 5.6 N/C5.6\,\text{N/C} directed about 50∘50^{\circ} west of north

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