| Five charges \[{{q}_{1}},{{q}_{2}},{{q}_{3}},{{q}_{4}}\], and \[{{q}_{5}}\] are fixed at their positions as shown in Figure. S is a Gaussian surface. The Gauss's law is given by: |
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| Which of the following statements is correct? |
A) E on the LHS of the above equation will have a contribution from \[{{q}_{1}},{{q}_{5}}\],and \[{{q}_{3}}\], while q on the RHS will have a contribution from \[{{q}_{2}}\] and \[{{q}_{4}}\] only.
B) E on the LHS of the above equation will have a contribution from all charges, while q on the RHS will have a contribution from \[{{q}_{2}}\] and \[{{q}_{4}}\] only.
C) E on the LHS of the above equation will have a contribution from all charges, while q on the RHS will have a contribution from \[{{q}_{2}}\] and \[{{q}_{4}}\] only.
D) Both E on the LHS and q on the RHS will have contributions from \[{{q}_{2}}\] and \[{{q}_{4}}\] only.
Correct Answer: B
Solution :
Option [b] is correct. Explanation: As all charges are positive (or of same signs), so electric field lines on R.H.S. of Gaussian surface will be due to \[{{q}_{2}}\] and \[{{q}_{4}}\] only. On L.H.S. of Gaussian surface, the electric field lines on 'E' will be due to \[{{q}_{1}},{{q}_{2}},{{q}_{3,}}{{q}_{4}}\ \operatorname{and}{{q}_{5}}\]. So, answer is verified.
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