Question 769: Electrostatics & Capacitance

Question

A hollow cylinder has a charge q coulomb within it. If $$f$$ is the electric flux in units of voltmeter associated with the curved surface B, the flux linked with the plane surface A in units of V-m will be

Accepted Answer

Let $$\phi _A$$, $$\phi _B$$ and $$\phi _C$$ are the electric flux linked with A, B and C.
According to Gauss theorem,
$$\phi _A + \phi _B + \phi _C$$ = $${q \over {{\varepsilon _0}}}$$
Since $$\phi _A$$ = $$\phi _C$$
$$ \Rightarrow 2{\phi _A} = {q \over {{\varepsilon _0}}} - {\phi _B}$$
$$ \Rightarrow 2{\phi _A} = {q \over {{\varepsilon _0}}} - \phi $$   $$\left( {Given\,{\phi _B} = \phi } ight)$$
$$ 	herefore $$ $${\phi _A} = {1 \over 2}\left( {{q \over {{\varepsilon _0}}} - \phi } ight)$$

Answer

$${q \over {2{\varepsilon _0}}}$$

Answer

$${\phi  \over 3}$$

Answer

$${q \over {{\varepsilon _0}}} - \phi $$

Answer

$${1 \over 2}\left( {{q \over {{\varepsilon _0}}} - \phi } \right)$$

Electrostatics & Capacitance

A hollow cylinder has a charge q coulomb within it. If $f$ is the electric flux in units of voltmeter associated with the curved surface B, the flux linked with the plane surface A in units of V-m will be

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