In a region of space, the electric field is given by E⇀ =8i^ +4j^+3k^ . The electric flux through a surface of area of 100 units xy- plane is

# In a region of space, the electric field is given by  . The electric flux through a surface of area of 100 units xy- plane is

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### Solution:

$\begin{array}{l}\mathrm{Here},\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\mathrm{E}=8\stackrel{^}{\mathrm{i}}+4\stackrel{^}{\mathrm{j}}+3\stackrel{^}{\mathrm{k}}\\ \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\mathrm{S}=100\stackrel{^}{\mathrm{k}}\end{array}$
(direction of area is perpendicular to xy-plane)

$\begin{array}{l}\mathrm{\varphi }=\stackrel{\to }{\mathrm{E}}.\stackrel{\to }{\mathrm{s}}=\left(8\stackrel{^}{\mathrm{i}}+4\stackrel{^}{\mathrm{j}}+3\stackrel{^}{\mathrm{k}}\right).100\stackrel{^}{\mathrm{k}}\\ =300\text{\hspace{0.17em}\hspace{0.17em}}\mathrm{unit}\end{array}$

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