A air-filled parallel-plate capacitor is connected to a battery

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A 2.0 μF2.0\,\mu\text{F} air-filled parallel-plate capacitor is connected to a 12 V12\,\text{V} battery. A slab of dielectric material with dielectric constant κ=4\kappa=4 is then slowly inserted so that it completely fills the space between the plates while the battery remains connected. What is the work done by an external agent in carrying out the insertion? (a) +0.864 mJ+0.864\,\text{mJ} (b) +0.432 mJ+0.432\,\text{mJ} (c) −0.432 mJ-0.432\,\text{mJ} (d) 0 mJ0\,\text{mJ}

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