JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 30 July 2022, Shift 2, Physics Q12

Question 12 of 90 in this shift, Physics question 12 of 30, Section A.

In an A.C circuit , V & I are given by V = 250 sin (100 t) volt and I = 10 sin (100 t +

\frac{\pi}{3}

) A respectively The power dissipated in the circuit is:

(1)2500 W
(2)625 WOfficial answer
(3)1250 W
(4) $625\sqrt{2}$ W

Official answer

Option 2

NTA final key.

Chapter: Alternating Current
Topic: Phasor Diagrams
Idea tested: Power Factor from Phasors

Same idea in other shifts

Asked 9× in all

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30 Jan 2024, Shift 1 · Q43A series L.R circuit connected with an ac source $E = (25\sin 1000\,t)$ V has a power factor of $\frac{1}{\sqrt{2}}$ . If the source of emf…MediumSingle correct
31 Jan 2024, Shift 2 · Q43An AC voltage $V=20\sin 200\pi t$ is applied to a series LCR circuit which drives a current $I=10\sin\left(200\pi t+\frac{\pi}{3}\right)$ .…EasySingle correct
26 Jul 2022, Shift 1 · Q37In a series LR circuit $X_L = R$ and power factor of the circuit is $P_1$ . When capacitor with capacitance C such that $X_L = X_C$ is put…EasySingle correct
27 Aug 2021, Shift 2 · Q22An ac circuit has an inductor and a resistor of resistance R in series, such that $X_L=3\ R$ . Now, a capacitor is added in series such…MediumNumerical value
18 Mar 2021, Shift 2 · Q13In a series LCR circuit, the inductive reactance ( $X_L$ ) is 10 $\Omega$ and the capacitive reactance ( $X_C$ ) is 4 $\Omega$ . The resistance…EasySingle correct
6 Sep 2020, Shift 2 · Q23In a series LR circuit, power of 400 W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0.8. In order to…MediumNumerical 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.