Analyzing Potential Difference and Electric Field

A parallel-plate capacitor has charge of magnitude 7.0 \(\rm\ \mu\textrm{C}\) on each plate and capacitance 5.0 \(\rm\ \mu\textrm{F}\) when there is air between the plates. The plates are separated by 1.0 \(\textrm{ mm}\). With the charge on the plates kept constant, a dielectric with \(\kappa = \) 3.0 is inserted between the plates, completely filling the volume between the plates.

Part 1

What is the potential difference between the plates of the capacitor before the dielectric has been inserted?

Answer Section

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Part 2

What is the potential difference between the plates of the capacitor after the dielectric has been inserted?

Answer Section

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Part 3

What is the electrical field at the point midway between the plates before the dielectric is inserted?

Answer Section

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Part 4

What is the electrical field at the point midway between the plates after the dielectric is inserted?

Answer Section

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Attribution

Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.