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JEE Main 202331 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2023 · 31 January · Evening Shift · Physics · Electrostatics

Considering a group of positive charges, which of the following...

Considering a group of positive charges, which of the following statements is correct?

Options

  1. ANet potential of the system cannot be zero at a point but net electric field can be zero at that point
  2. BNet potential of the system at a point can be zero but net electric field can't be zero at that point
  3. CBoth the net potential and the net field can be zero at a point
  4. DBoth the net potential and the net electric field cannot be zero at a point

Correct answer

A. Net potential of the system cannot be zero at a point but net electric field can be zero at that point

Step-by-step solution

As we know, net potential will be algebraic sum of potential due to each charge, so we can write Vnet=∑(kQiri){V}_{net} = ∑ \left(\dfrac{k{Q}_{i}}{{r}_{i}}\right).

As given in the question, Qi{Q}_{i} and ri{r}_{i} are positive, so

∴Vnet>0∴ {V}_{net} > 0

But electric field is a vector quantity, so it can be zero for a given arrangement of charges. For example, electric field at the centre of the two equal charges at certain distance will be zero as electric field due to both charges will be in opposite direction and hence will cancel each other.

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