Displacement Current
During the charging of a parallel plate capacitor, a physicist wishes to know which quantity ensures continuity of current in the region between the plates.
Select the correct option:
Solution
Displacement current due to changing electric flux
As explained in NCERT Class 12, Chapter 8 (Electromagnetic Waves), Maxwell realised that Ampere's circuital law was incomplete because in the gap between capacitor plates there are no moving charges, yet a magnetic field is observed. He introduced the displacement current, defined as I_d = ε₀ (dΦ_E/dt), where Φ_E is the electric flux. This term arises purely from a time-varying electric field, not from any physical flow of charge. While the capacitor charges, the electric field between the plates increases, so the electric flux changes and produces a displacement current exactly equal in magnitude to the conduction current in the connecting wires, thereby maintaining continuity of the total current. Conduction current due to free electrons cannot flow across the vacuum or dielectric gap, so it is not the answer. Magnetisation current is associated with bound currents in magnetic materials and is irrelevant here. Eddy currents require a conducting loop in a changing magnetic field, which is not the situation between capacitor plates. A consistency check: the displacement current keeps the total current identical throughout the circuit, so Kirchhoff's junction rule is preserved, confirming the choice.
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Displacement current introduced by Maxwell accounts for changing:
Displacement current introduced by Maxwell accounts for changing:
About This Question
- Subject
- physics
- Chapter
- electromagnetic waves
- Topic
- displacement current
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
Displacement current due to changing electric flux
As explained in NCERT Class 12, Chapter 8 (Electromagnetic Waves), Maxwell realised that Ampere's circuital law was incomplete because in the gap between capacitor plates there are no moving charges, yet a magnetic field is observed. He introduced the displacement current, defined as I_d = ε₀ (dΦ_E/dt), where Φ_E is the electric flux. This term arises purely from a time-varying electric field, not from any physical flow of charge. While the capacitor charges, the electric field between the plates increases, so the electric flux changes and produces a displacement current exactly equal in magnitude to the conduction current in the connecting wires, thereby maintaining continuity of the total current. Conduction current due to free electrons cannot flow across the vacuum or dielectric gap, so it is not the answer. Magnetisation current is associated with bound currents in magnetic materials and is irrelevant here. Eddy currents require a conducting loop in a changing magnetic field, which is not the situation between capacitor plates. A consistency check: the displacement current keeps the total current identical throughout the circuit, so Kirchhoff's junction rule is preserved, confirming the choice.
This medium difficulty physics question is from the chapter electromagnetic waves, covering the topic of displacement current. It appeared in the 2025 exam.
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