Physics · Electric flux, Gauss's law and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell
Which of the following statements is not true about Gauss's law?
Which of the following statements is not true about Gauss's law?
- A. Gauss's law is true for any closed surface
- B. The term \( q \) on the right side of Gauss's law includes the sum of all charges enclosed by the surface
- C. Gauss's law is not much useful in calculating electrostatic field when the system has some symmetry
- D. Guss's law is based on the inverse square dependence on distance contained in the coulomb's law
Step-by-step solution
Gauss's law is actually most useful for calculating electric fields when the system possesses symmetry (e.g., spherical, cylindrical, or planar symmetry), as it allows the electric field to be factored out of the flux integral. Therefore, the statement that it is not much useful is false.
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