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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 29 June 2022, Shift 2, Physics Q56

Question 56 of 90 in this shift, Physics question 26 of 30, Section B.

The displacement current of 4.425 μA\mu A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 10610^6 Vs−1Vs^{-1}. The area of each plate of the capacitor is 40 cm2\mathrm{cm^2}. The distance between each plate of the capacitor is xx × 10−310^{-3}m.The value of xx is , (Permittivity of free space, E0\mathrm{E_0} = 8.85 × 10−1210^{-12} C2 N−1 m−2\mathrm{C^2\,N^{-1}\,m^{-2}}) ________

Official answer

8

NTA final key.

Chapter
Electromagnetic Waves
Topic
Parallel Plate Capacitors
Idea tested
Displacement Current Between Plates

Same idea in other shifts

Asked 7× in all
  1. 5 Apr 2026, Shift 1 · Q37A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 μ6\ \muF capacitor. The rate of change of…EasySingle correct
  2. 7 Apr 2025, Shift 1 · Q26If ϵ0\epsilon_0 denotes the permittivity of free space and ΦE\Phi_E is the flux of the electric field through the area bounded by the…MediumSingle correct
  3. 5 Apr 2024, Shift 1 · Q45An alternating voltage of amplitude 40 V and frequency 4 kHz is applied directly across the capacitor of 12 μF12\ \mu\mathrm{F}. The maximum…EasySingle correct
  4. 1 Feb 2024, Shift 1 · Q44A parallel plate capacitor has a capacitance C = 200 pF. It is connected to 230 V ac supply with an angular frequency 300 rad/s. The rms…MediumSingle correct
  5. 4 Aug 2021, Shift 2 · Q28The voltage between the plates of a capacitor of capacitance 5μF5\mu\mathrm{F} is changing at a rate of…EasyNumerical value
  6. 17 Mar 2021, Shift 2 · Q25Seawater at a frequency f=9×102f=9\times10^{2} Hz, has permittivity ε=80ε0\varepsilon=80\varepsilon_0 and resistivity ρ=0.25 Ω\rho=0.25\ \Omegam. Imagine…HardNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.