Three point charges are fixed at the following positions: at the origin

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Three point charges are fixed at the following positions: q1=+1 μCq_1=+1\,\mu\text{C} at the origin, q2=−2 μCq_2=-2\,\mu\text{C} at (0, 0.40 m, 0)(0,\,0.40\,\text{m},\,0) and q3=+3 μCq_3=+3\,\mu\text{C} at (0.30 m, 0, 0.40 m)(0.30\,\text{m},\,0,\,0.40\,\text{m}). Calculate the net electrostatic force on q1q_1 in vector form. (a) (0.065 i^+0.113 j^+0.086 k^)  N(0.065\,\hat i+0.113\,\hat j+0.086\,\hat k)\;\text{N} (b) (−0.033 i^+0.045 j^−0.043 k^)  N(-0.033\,\hat i+0.045\,\hat j-0.043\,\hat k)\;\text{N} (c) (−0.065 i^+0.113 j^−0.086 k^)  N(-0.065\,\hat i+0.113\,\hat j-0.086\,\hat k)\;\text{N} (d) (−0.130 i^+0.225 j^−0.173 k^)  N(-0.130\,\hat i+0.225\,\hat j-0.173\,\hat k)\;\text{N}

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