Charges and are fixed on the -axis at and

PHYSICS · Subjective · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

Charges q1=+5.0 μCq_{1}= +5.0\,\mu\text{C} and q2=+5.0 μCq_{2}= +5.0\,\mu\text{C} are fixed on the zz-axis at (0,0,0)(0,0,0) and (0,0,6.0 cm)(0,0,6.0\,\text{cm}), respectively. A third charge q=+3.0 μCq= +3.0\,\mu\text{C} is placed at the point (3.0 cm, 4.0 cm, 0)(3.0\,\text{cm},\,4.0\,\text{cm},\,0). Using k=9.0×109 N m2/C2k=9.0\times10^{9}\,\text{N m}^{2}\text{/C}^{2}, answer the following: (i) Find the displacement vectors from the third charge to each of the fixed charges. (ii) Obtain the corresponding unit vectors. (iii) Compute the individual forces exerted on qq by q1q_{1} and q2q_{2}. (iv) Determine the net electrostatic force on qq in unit-vector form and state its magnitude.

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