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Alternating Current question

2025 · 24 Jan · Shift 1 · Q69
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Alternating Current question

2025 · 24 Jan · Shift 1 · Q69

JEE MainPhysicsAlternating CurrentMCQ+4 / −1
An alternating current is given by I=IAsin⁡ωt+IBcos⁡ωt\mathrm{I}=\mathrm{I}_{\mathrm{A}} \sin \omega \mathrm{t}+\mathrm{I}_{\mathrm{B}} \cos \omega \mathrm{t}I=IA​sinωt+IB​cosωt. The r.m.s current will be
  1. A
    IA2+IB22\frac{\sqrt{\mathrm{I}_{\mathrm{A}}^2+\mathrm{I}_{\mathrm{B}}^2}}{2}2IA2​+IB2​​​
  2. B
    IA2+IB22\sqrt{\frac{\mathrm{I}_{\mathrm{A}}^2+\mathrm{I}_{\mathrm{B}}^2}{2}}2IA2​+IB2​​​
  3. C
    ∣IA+IB∣2\frac{\left|\mathrm{I}_{\mathrm{A}}+\mathrm{I}_{\mathrm{B}}\right|}{\sqrt{2}}2​∣IA​+IB​∣​
  4. D
    IA2+IB2\sqrt{\mathrm{I}_{\mathrm{A}}^2+\mathrm{I}_{\mathrm{B}}^2}IA2​+IB2​​
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