Physics · Electromagnetic Waves

NEET (UG) 2024 — Question 36

A parallel plate capacitor is charged by connecting it to a battery through a resistor. If ll is the current in the circuit, then in the gap between the plates:

  1. Option A:

    There is no current

  2. Option B:

    Displacement current of magnitude equal to I flows in the same direction as I

    Correct
  3. Option C:

    Displacement current of magnitude equal to II flows in a direction opposite to that of II

  4. Option D:

    Displacement current of magnitude greater than / flows but can be in any direction

Answer: B

Step-by-step solution

In a charging RC circuit, the conduction current II flows in the wires. Between the capacitor plates, there is no conduction current, but the changing electric field produces a displacement current Id=ε0dΦEdtI_d = \varepsilon_0 \frac{d\Phi_E}{dt}. By the modified Ampere's law, the total current (conduction + displacement) is continuous. Applying Kirchhoff's current law at the capacitor plate, the displacement current must equal the conduction current in magnitude. The direction of the displacement current is the same as the direction of the conduction current because the electric field between the plates increases in the same direction as the current flows. Hence, the displacement current has magnitude II and flows in the same direction as II.

Solution figure

Answer key and solution verified before publishing.

Practise Electromagnetic Waves

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Exam
NEET (UG) 2024
Subject
Physics
Chapter
Electromagnetic Waves
Topic
Displacement Current and Equation of EM Waves
A parallel plate capacitor is charged by connecting it to a battery… | NEET (UG) 2024 PYQ with Solution · DhiX AI