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← JEE Main 2022 · 29 Jul · Shift 1
PhysicsSingle correct+4 / -1Question 43 of 90

JEE Main 2022 · 29 Jul · Shift 1, Physics question 43

An alternating emf E=440sin⁡100πtE=440\sin100\pi t is applied to a circuit containing an inductance of 2π\dfrac{\sqrt2}\pi H. If an a.c. ammeter is connected in the circuit, its reading will be :

Choose one option
Answer and worked solution

Official answer: C

Reactance XL=100π⋅2π=1002 ΩX_L=100\pi\cdot\frac{\sqrt2}\pi=100\sqrt2\ \Omega.

rms current 440/21002=2.2\dfrac{440/\sqrt2}{100\sqrt2}=2.2 A.

(C)