Two point charges and are to be placed apart inside a non-conducting oil of…

PHYSICS · Subjective · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Two point charges q1=6 μCq_1 = 6\,\mu\text{C} and q2=−3 μCq_2 = -3\,\mu\text{C} are to be placed 5 cm5\,\text{cm} apart inside a non-conducting oil of dielectric constant K=4K = 4. (a) Calculate the potential energy of the system after the charges have been assembled at the stated separation. (b) How much work must an external agent do to assemble the system if both charges were originally at infinity? (c) If the oil is replaced by air (take K=1K = 1), determine the new amount of work required. Use 1/4πϵ0=9×109 N m2 C−21/4\pi\epsilon_0 = 9 \times 10^9\,\text{N m}^2\text{ C}^{-2}.

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