3. a) Define electric displacement vector D and deduce Gauss's law for dielectrics. b) A dielectric of dielectric constant 5.0 is filled in the gap between the plates of a capacitor. Calculate the factor by which the capacitance is increased, if the dielectric is only sufficient to fill up 1/5 of the gap. c) A 1.0 m length of current-carrying wire kept perpendicular to a magnetic field of magnitude 400 mT experiences a force of 3.0 mN. Determine the current flowing the wire.

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