---
title: "An air-filled parallel-plate capacitor with plate separation \\(d\\) has a maximum sustainable operating voltage of \\(V_0\\), determined by the dielectric strength \\(E_{\\text{air}}\\). The space between the plates is then completely filled with a solid dielectric material having dielectric constant \\(\\kappa = 3\\) and dielectric strength \\(E_{\\text{mat}} = 2 E_{\\text{air}}\\). What is the new maximum operating voltage that the capacitor can sustain without dielectric breakdown?"
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url: "https://nerd-notes.com/ubq/118191/"
date_modified: "2026-08-04T08:07:59+00:00"
---

# An air-filled parallel-plate capacitor with plate separation \(d\) has a maximum sustainable operating voltage of \(V_0\), determined by the dielectric strength \(E_{\text{air}}\). The space between the plates is then completely filled with a solid dielectric material having dielectric constant \(\kappa = 3\) and dielectric strength \(E_{\text{mat}} = 2 E_{\text{air}}\). What is the new maximum operating voltage that the capacitor can sustain without dielectric breakdown?

An air-filled parallel-plate capacitor with plate separation \(d\) has a maximum sustainable operating voltage of \(V_0\), determined by the dielectric strength \(E_{\text{air}}\). The space between the plates is then completely filled with a solid dielectric material having dielectric constant \(\kappa = 3\) and dielectric strength \(E_{\text{mat}} = 2 E_{\text{air}}\). What is the new maximum operating voltage that the capacitor can sustain without dielectric breakdown?

- **A.** \(\dfrac{2}{3} V_0\)
- **B.** \(2 V_0\)
- **C.** \(3 V_0\)
- **D.** \(6 V_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118191/*