All Problems

Electric Capacitance, Energy of an Electric Field

Problem 3.107

There is a double-layer cylindrical capacitor whose parameters are shown in Fig. 3.16. The breakdown field strength values for these dielectrics are equal to \(E_{1}\) and \(E_{2}\) respectively. What is the breakdown voltage of this capacitor if \(\varepsilon_{1} R_{1} E_{1}<\varepsilon_{2} R_{2} E_{2} ?\)

Reveal Answer
V=R1E1[ln⁡(R2/R1)+(ε1/ε2)ln⁡(R3/R2)]V=R_{1} E_{1}\left[\ln \left(R_{2} / R_{1}\right)+\left(\varepsilon_{1} / \varepsilon_{2}\right) \ln \left(R_{3} / R_{2}\right)\right]
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