Question

You are asked to construct a capacitor having a capacitance near $1 \mathrm{nF}$ and a breakdown potential in excess of $10000 \mathrm{~V}$. You think of using the sides of a tall Pyrex drinking glass as a dielectric, lining the inside and outside curved surfaces with aluminum foil to act as the plates. The glass is $15 \mathrm{~cm}$ tall with an inner radius of $3.6 \mathrm{~cm}$ and an outer radius of $3.8 \mathrm{~cm} .$ What are the (a) capacitance and (b) breakdown potential of this capacitor?

          You are asked to construct a capacitor having a capacitance near $1 \mathrm{nF}$ and a breakdown potential in excess of $10000 \mathrm{~V}$. You think of using the sides of a tall Pyrex drinking glass as a dielectric, lining the inside and outside curved surfaces with aluminum foil to act as the plates. The glass is $15 \mathrm{~cm}$ tall with an inner radius of $3.6 \mathrm{~cm}$ and an outer radius of $3.8 \mathrm{~cm} .$ What are the
(a) capacitance and (b) breakdown potential of this capacitor?

Added by Robert H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Vishal Gupta

07/04/2022

Step 1

8 \, \text{cm} = 0.038 \, \text{m} \) Inner radius, $ a = 3.6 \, \text{cm} = 0.036 \, \text{m} $ Dielectric constant, $ k = 4.7 $ Length of the cylinder, $ l = 15 \, \text{cm} = 0.15 \, \text{m} $ Using the formula \( C = \frac{2 \pi \epsilon_0 k}{\ln(b/a)} Show more…

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You are asked to construct a capacitor having a capacitance near $1 \mathrm{nF}$ and a breakdown potential in excess of $10000 \mathrm{~V}$. You think of using the sides of a tall Pyrex drinking glass as a dielectric, lining the inside and outside curved surfaces with aluminum foil to act as the plates. The glass is $15 \mathrm{~cm}$ tall with an inner radius of $3.6 \mathrm{~cm}$ and an outer radius of $3.8 \mathrm{~cm} .$ What are the (a) capacitance and (b) breakdown potential of this capacitor?