Question:

Gauss law helps in

Updated On: Jun 23, 2023
  • determination of electric force between point charges
  • situations where Coulombs law fails
  • determination of electric field due to symmetric charge distributions
  • determining electric potential due to symmetric charge distributions

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The Correct Option is C

Solution and Explanation

Gauss' law helps in the determination of the electric field due to symmetric charge distribution.

The Gauss Theorem

Net flux through a closed surface is directly proportional to the net charge in the volume enclosed by the closed surface.

ϕ=E⋅dS=\(\frac{q_{net}}{ \epsilon_0}\)

Gauss's theorem relates the ‘flow’ of electric field lines (flux) to charges within the enclosed surface. Net electric flow is always zero if no charges are contained by a surface. The number of electric field lines entering the surface equals the number of field lines ejecting from it.

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Concepts Used:

Electrostatic Potential and Capacitance

Electrostatic Potential

The potential of a point is defined as the work done per unit charge that results in bringing a charge from infinity to a certain point.

Some major things that we should know about electric potential:

  • They are denoted by V and are a scalar quantity.
  • It is measured in volts.

Capacitance

The ability of a capacitor of holding the energy in form of an electric charge is defined as capacitance. Similarly, we can also say that capacitance is the storing ability of capacitors, and the unit in which they are measured is “farads”.

Read More: Electrostatic Potential and Capacitance

The capacitor is in Series and in Parallel as defined below;

In Series

Both the Capacitors C1 and C2 can easily get connected in series. When the capacitors are connected in series then the total capacitance that is Ctotal is less than any one of the capacitor’s capacitance.

In Parallel

Both Capacitor C1 and C2 are connected in parallel. When the capacitors are connected parallelly then the total capacitance that is Ctotal is any one of the capacitor’s capacitance.