Physics Electrostatics DUHS 2023
PMDC Verified Question 56 of 131
Q.173 Which statement is the best for electric flux of a point charge?
A
Independent of charge
B
Independent of medium
C
Independent of shape of surface in which charge is enclosed
D
Independent position of charge in space
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: Independent of shape of surface in which charge is enclosed
1. Concept:

According to Gauss's Law, the total outward electrical flux piercing any closed imaginary surface relies only on the amount of charge trapped inside, regardless of how chaotic or asymmetrical the boundary's physical geometry is.

2. Formula:

$$ \Phi_E = \frac{Q_{enc}}{\epsilon_0} $$

3. Solution:

  • Because the integral of a closed surface fundamentally sums all outward vector lines, reshaping the boundary just changes where the lines exit, not the total count of exiting lines. Thus, flux is completely independent of the enclosing shape.


4. Why other options are incorrect:

Flux directly depends on the magnitude of the charge (ruling out A). It depends heavily on the medium's permittivity \( \epsilon_0 \) (ruling out B).

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