A charge of 8 mC is located at the origin. Calculate the work done in taking a small charge of –2 x 10–9 C from a point P(0, 0, 3 cm) to a point Q(0, 4 cm, 0), via a point R (0, 6 cm, 9 cm).
Given charge q = 8 mC = 8 x 10–1 C is located at origin and the small charge (q0 = –2 x 10–9 C) is taken from point P (0, 0, 3 cm) to a point Q (0, 4, cm, 0) through point R (0, 6 cm, 9 cm) which is shown in the figure.
Initial separation between q0 and q is rp = 3 cm = 0.03 m
Final separation between q0 and q is rQ = 4 cm = 0.4 m
Work done in taking the charge q0 from point P to Q does not dependent on the path followed and depends only upon rp and rQ i.e., initial and final positions.
or,
Two thin dielectric slabs of dielectric constants K1 and K2 K1
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