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Saturday, 31 October

JEE Main 2021 · PhysicsMultiple choiceSingle correctEasyApplication

JEE Main 26 February 2021, Shift 1, Physics Q14

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

An alternating current is given by the equation i=i1sin⁡ωt+i2cos⁡ωti=i_1\sin\omega t+i_2\cos\omega t. The rms current will be :
  1. (1)12(i1+i2)\frac{1}{\sqrt{2}}(i_1+i_2)
  2. (2)12(i1+i2)2\frac{1}{\sqrt{2}}(i_1+i_2)^{2}
  3. (3)12(i12+i22)12\frac{1}{\sqrt{2}}\left(i_1^{2}+i_2^{2}\right)^{\frac{1}{2}}Official answer
  4. (4)12(i12+i22)12\frac{1}{2}\left(i_1^{2}+i_2^{2}\right)^{\frac{1}{2}}

Official answer

Option 3

NTA final key.

Same idea in other shifts

Asked 2× in all
  1. 4 Apr 2024, Shift 1 · Q58A alternating current at any instant is given by i=[6+56sin⁡(100πt+π/3)]i = \left[6 + \sqrt{56}\sin(100\pi t + \pi/3)\right] A. The rms value of the current is…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.