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Class 12 Physics · Chapter 2 · NCERT (leph102)

Electrostatic Potential and Capacitance: common misconceptions

See the tempting mistake students make in Electrostatic Potential and Capacitance, why it feels right at first glance, and a worked visual example that shows the right idea.

The tempting mistake & worked visual

Can the electric potential be zero while the field is nonzero?

Wrong

If electric potential is zero at a point, the electric field there must also be zero.

Why it feels right. Both quantities describe the same charges, so I expect them to cancel together.

Right

Potential adds as a scalar. Electric field adds as a vector.

Worked example

At the midpoint, opposite potentials cancel. Both electric fields point to the right.
  1. At the midpoint between +q and −q, the potentials cancel when zero is set at infinity.
  2. Both field contributions point from +q towards −q, so they add.

If your child says… (8 concept checks in this chapter)

As you work through Electrostatic Potential and Capacitance, listen for these everyday misunderstandings and use the prompt alongside each one.

1. Electrostatic potential See how to teach this step →

If your child says… “Doubling distance makes potential one quarter as large.”

Ask together
What happens to the first calculation when its denominator doubles?
What’s true
Point-charge potential varies inversely with distance, unlike field strength.
2. Superposition of potential See how to teach this step →

If your child says… “Charges on opposite sides cancel the potential.”

Ask together
Which potential is negative when both charges are positive?
What’s true
Potential has a sign, but no direction.
3. Equipotential surfaces See how to teach this step →

If your child says… “The field points towards higher potential.”

Ask together
Do the potentials rise or fall along the outward arrows?
What’s true
The electric field points towards falling potential, not rising potential.
4. Potential energy of charges See how to teach this step →

If your child says… “A dipole has most energy when it points along the field.”

Ask together
If turning an aligned dipole requires work, does its stored energy rise or fall?
What’s true
An aligned dipole has minimum potential energy in a uniform electric field.
5. Conductors and dielectrics See how to teach this step →

If your child says… “Insulators cancel the field like metals.”

Ask together
Can the dielectric’s charges cross the whole slab like the metal’s electrons?
What’s true
Unlike metal, an ordinary dielectric only reduces its internal field for fixed source charge.

If your child says… “An insulating slab works like filling the whole gap.”

Ask together
If a slab fills only part of the gap, what fills the rest?
What’s true
Any remaining air contributes to the voltage between plates.
7. Capacitor connections See how to teach this step →

If your child says… “The old battery voltage stays after disconnection.”

Ask together
With charge fixed, what happens to voltage when capacitance increases?
What’s true
An isolated capacitor keeps its plate charges, but its voltage changes if capacitance changes.
8. Energy stored in a capacitor See how to teach this step →

If your child says… “Keeping all the charge keeps all the stored energy.”

Ask together
If moving charge heats the connections, where did that energy come from?
What’s true
When isolated capacitors at different voltages share charge, some energy becomes heat, radiation, or both.

Use this chapter three ways