JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 28 July 2022, Shift 1, Physics Q44

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

The equation of current in a purely inductive circuit is

5\sin(49\pi t-30^\circ)

. If the inductance is 30 mH then the equation for the voltage across the inductor, will be : {Let

\pi=\frac{22}{7}

}

(1) $1.47\sin(49\pi t-30^\circ)$
(2) $1.47\sin(49\pi t+60^\circ)$
(3) $23.1\sin(49\pi t-30^\circ)$
(4) $23.1\sin(49\pi t+60^\circ)$ Official answer

Official answer

Option 4

NTA final key (2022 Session 2).

Chapter: Alternating Current
Topic: Phasor Diagrams
Idea tested: Phase Relations in RLC

Same idea in other shifts

Asked 8× in all

4 Apr 2024, Shift 1 · Q43In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source may be connected…MediumOther
4 Apr 2024, Shift 2 · Q44Match List I with List II LIST I | LIST II A. Purely capacitive circuit | I. [figure: phasor diagram, $I$ along the vertical axis (up) and…MediumMatch the listHas a figure
6 Apr 2023, Shift 2 · Q47A capacitor of capacitance 150.0 $\mu$ F is connected to an alternating source of emf given by $E=36\sin(120\pi t)$ V. The maximum value of…EasySingle correct
13 Apr 2023, Shift 2 · Q44Given below are two statements: Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an…MediumTwo statements
22 Jul 2021, Shift 2 · Q4In a circuit consisting of a capacitance and a generator with alternating emf $E_g = E_{g_0}\sin\omega t$ , $V_C$ and $I_C$ are the voltage…EasyDiagram basedHas a figure
17 Mar 2021, Shift 2 · Q7Match List - I with List - II List - I List - II (a) Phase difference between current and voltage in a purely resistive AC circuit (i)…EasyMatch the list
9 Jan 2020, Shift 2 · Q15In LC circuit the inductance $L = 40$ mH and capacitance $C = 100\ \mu$ F. If a voltage $V(t) = 10\sin(314\,t)$ is applied to the circuit,…MediumSingle correct

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.