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Charging by Conduction

Five charges ...

Question

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 given by which of the following statements is correct?

$\oint \to E . \to d s = \frac{q}{ε_{0}}$

$E$ 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.

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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.

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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_{1}, q_{3} q_5

only

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Both

E

on the LHS and

q

on the RHS will have contributions from

q_{2} and q_{4}

only.

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Solution

The correct option is 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.

As we know, Electric field is due to all the charges present inside as well as outside the closed surface, while electric flux is due to the charges present inside the gaussian surface only.

Therefore, in left side equation, the electric field is due to all the charges present both inside as well as outside the Gaussian surface.

This shows E on LHS of the above equation will have a contribution from all charges whereas q on the RHS will have a contribution from $q_{2} and q_{4}$ only. Hence option (b) is correct.

Final Answer: (b)

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Similar questions

q_{1}, q_{2}, q_{3} a n d q_{4}

are point charges located at points as shown in the figure and S is spherical Gaussian surface of radius R. Which of the following is true according to the Gauss’s law.

Q. Assertion :Four point charges

q_{1}

q_{2}

q_{3}

and

q_{4}

are as shown in figure. The flux over the shown Gaussian surface depends only on charges

q_{1}

and

q_{2}

. Reason: Electric field at all points on Gaussian surface depends only charges

q_{1}

and

q_{2}

Q. In the given question, a statement of Assertion

(A)

is given, followed by a corresponding statement of Reason

(R)

just below of it. Mark the correct answer.

Assertion

(A)

: Four point charges

q_{1}, q_{2}, q_{3} and q_{4}

are as shown in figure. The flux over the shown Gaussian surface depends only on charges

q_{1} and q_{2}

Reason

(R)

: Electric field at all points on Gaussian surface depends only on charges

q_{1} and q_{2}

q_{1}, q_{2}, q_{3} a n d q_{4}

are point charges located at points as shown in the figure and S is spherical Gaussian surface of radius R. Which of the following is true according to the Gauss’s law.

Q. Assertion

(A)

: Four point charges

q_{1}, q_{2}, q_{3}

and

q_{4}

are as shown in figure. The flux over the shown gaussian surface depends only on charges

q_{1}

and

q_{2}

Reason

(R)

: Electric field at all points on gaussian surface is depends only on charges

q_{1}

and

q_{2}

Select the most appropriate answer from the options given below

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Charging by Conduction

Standard XII Physics

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Five charges q1,q2,q3,q4 and q5 are fixed at their positions as shown in Figure. S is a Gaussian surface. The Gauss’s law given by which of the following statements is correct? ∮→E.→ds=qε0

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 given by which of the following statements is correct?

$\oint \to E . \to d s = \frac{q}{ε_{0}}$