Скачать или смотреть Parallel plate capacitor with dielectric: find the charge and energy stored by the capacitor.

In this quick parallel plate capacitor with dielectric problem, we are given the dimensions of the parallel plates of a capacitor, the thickness and dielectric constant of a dielectric layer between the plates (the dielectric is paraffin with a constant of about 2.3) and the potential difference across the plates.

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Our first goal is to find the charge on the capacitor, so we use Q=CV. To get the capacitance, C, we have to use the geometry of the capacitor and the dielectric constant, so C=kappa*ep_0*A/d, and we've got the capacitance. Plugging into Q=CV, we find the charge on the capacitor.

Our second goal is to find the energy stored by the capacitor. We use E=1/2*CV^2 to find the energy, and we're done!