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1. Electric Charges and Fields
easy
${q_1},\;{q_2},\;{q_3}$ and ${q_4}$ are point charges located at points as shown in the figure and $S$ is a spherical Gaussian surface of radius $R$. Which of the following is true according to the Gauss’s law
A
$\oint_s {({{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}).d\vec A} = \frac{{{q_1} + {q_2} + {q_3}}}{{2{\varepsilon _0}}}$
B
$\oint_s {({{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}).d\vec A} = \frac{{({q_1} + {q_2} + {q_3})}}{{{\varepsilon _0}}}$
C
$\oint_s {({{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}).d\vec A} = \frac{{({q_1} + {q_2} + {q_3} + {q_4})}}{{{\varepsilon _0}}}$
D
None of the above
Solution
(b) By using $\int {\overrightarrow E \cdot \,\overrightarrow {dA} } = \frac{1}{{{\varepsilon _0}}}({Q_{enc}})$
Standard 12
Physics
