JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 1 February 2024, Shift 1, Physics Q44

Question 44 of 90 in this shift, Physics question 14 of 30, Section A.

A 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 value of conduction current in the circuit and displacement current in the capacitor respectively are :

(1)13.8 $\mu$ A and 13.8 $\mu$ AOfficial answer
(2)1.38 $\mu$ A and 1.38 $\mu$ A
(3)14.3 $\mu$ A and 143 $\mu$ A
(4)13.8 $\mu$ A and 138 $\mu$ A

Official answer

Option 1

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

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5 Apr 2024, Shift 1 · Q45An alternating voltage of amplitude 40 V and frequency 4 kHz is applied directly across the capacitor of $12\ \mu\mathrm{F}$ . The maximum…EasySingle correct
29 Jun 2022, Shift 2 · Q56The displacement current of 4.425 $\mu A$ is developed in the space between the plates of parallel plate capacitor when voltage is…MediumNumerical value
4 Aug 2021, Shift 2 · Q28The voltage between the plates of a capacitor of capacitance $5\mu\mathrm{F}$ is changing at a rate of…EasyNumerical value
17 Mar 2021, Shift 2 · Q25Seawater at a frequency $f=9\times10^{2}$ Hz, has permittivity $\varepsilon=80\varepsilon_0$ and resistivity $\rho=0.25\ \Omega$ m. 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.