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1. Electric Charges and Fields
normal
Find flux related to shaded face $BCGF$
A
$\frac{q}{{{ \in _0}}}$
B
$\frac{q}{{{2\in _0}}}$
C
$\frac{q}{{{6 \in _0}}}$
D
$\frac{q}{{{3 \in _0}}}$
Solution
${\phi _{{\rm{BCGF}}}} = {\phi _{{\rm{due}}\,{\rm{to}}\,\,{\rm{q }}}} + {\phi _{{\rm{due}}\,{\rm{to 3q}}}} + {\phi _{{\rm{due to}}\,\,2{\rm{q}}}}$
${\phi _{{\rm{due to}}\,\,{\rm{q }}}} = \frac{q}{{24{\varepsilon _0}}}$
$\phi_{\text {due to } 3 \mathrm{q}}=\frac{3 \mathrm{q}}{24 \varepsilon_{0}}$
$\phi_{\text {due to } 2 \mathrm{q}}=0$
$\phi_{\mathrm{BCGF}}=\frac{\mathrm{q}}{24 \varepsilon_{0}}+\frac{3 \mathrm{q}}{24 \varepsilon_{0}}+0=\frac{4 \mathrm{q}}{24 \varepsilon_{0}}=\frac{\mathrm{q}}{6 \varepsilon_{0}}$
Standard 12
Physics
