Question:

Equipotential surfaces associated with an electric field which is increasing in magnitude along the $x-$ direction are

Updated On: Jun 23, 2023
  • planes parallel to yz-plane
  • planes parallel to xy-plane
  • planes parallel to xz-plane
  • coaxial cylinders of increasing radii around the x-axis
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The Correct Option is A

Solution and Explanation

Equipotential surfaces are surfaces of constant scalar potential. They are used to visualize an $n$-dimensional scalar potential function in $(n-1)$ dimensional space. The gradient of the potential, denoting the direction of greatest increase is perpendicular to the surfaces. Hence, equipotential surfaces associated with an electric field which is increasing in magnitude along the $x$-direction are planes parallel to $y z$-plane.
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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.