A parallel-plate capacitor of capacitance is connected to a battery and fully charged

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

A parallel-plate capacitor of capacitance 150 pF150\,\text{pF} is connected to a 400 V400\,\text{V} battery and fully charged. The battery is then disconnected, leaving the capacitor isolated. (i) Find the charge stored on the capacitor immediately after disconnection from the battery. (ii) A dielectric slab of relative permittivity 33 is now completely inserted between the plates. Determine the new capacitance of the system. (iii) Calculate the new potential difference across the plates after the slab is inserted. (iv) Compute the energy stored in the capacitor before and after the insertion of the dielectric, and comment on the change in energy.

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