Question 890: Electrostats & Capacitance

Question

A spherical rubber balloon carries a charge, uniformly distributed over the surface. As the balloon is blown up and increases in size, the total electric flux coming out of the surface

Accepted Answer

A spherical rubber balloon carries a charge uniformly distributed over its surface. As the balloon is inflated and its size increases, the total electric flux emanating from the surface does not change.
The electric field intensity due to a point charge placed at the center of a sphere with radius $ r $ is given by:
$ E = \frac{1}{4 \pi \varepsilon_0} \frac{q}{r^2} $
As the balloon expands, the charge enclosed by the Gaussian surface doesn't change. Therefore, the electric field intensity $ E $ remains the same. The electric flux $\phi$ is defined by the relationship:
$ \phi = E \cdot dS $
Since the electric field $ E $ remains constant, the electric flux $\phi$ remains unchanged.

Answer

increases

Answer

remains unchanged

Answer

becomes zero

Answer

decreases

Electrostats & Capacitance

A spherical rubber balloon carries a charge, uniformly distributed over the surface. As the balloon is blown up and increases in size, the total electric flux coming out of the surface

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