Five charges q 1 , q 2 , q 3 , q 4 , and q 5 are fixed at their positions as shown in Fig. 1.4. S is a Gaussian surface. The Gauss’s law is given by Which of the following statements is correct?

Question

Philoid · Accepted Answer

We know from Gauss Law that the closed surface integral of electric flux density is equal to the charge enclosed by that closed surface. This is mathematically given by

Here,

Since, the electric field lines in the given system will be from all charges q₁, q₂, q_3, q₄ and q₅.

If there will be no q₁, q₃ and q₅ charges outside the given Gaussian surface, then both the RHS and the LHS of the expression (1) will have contributions from q₂ and q₄ only.

Therefore, the Electric field in LHS of the expression (1) has contribution from all charges while the in the RHS of the expression (1) has contribution from charges q₂ and q₄ only.

Also, to make the LHS and RHS of the expression (1) equal, the box encompassing all the charges must be selected as Gaussian surface.

Five charges q1, q2, q3, q4, and q5 are fixed at their positions as shown in Fig. 1.4. S is a Gaussian surface. The Gauss’s law is given byWhich of the following statements is correct?

Five charges q₁, q₂, q₃, q₄, and q₅ are fixed at their positions as shown in Fig. 1.4. S is a Gaussian surface. The Gauss’s law is given by

Which of the following statements is correct?