Question bank/JEE Main/Physics

JEE MainPhysicsModerateEMI

At time t = 0 magnetic field of 1000 Gauss is passing
perpendicularly through the area defined by theclosed loop shown in the

figure. If the magnetic field reduces linearly to 500 Gauss, in the next

5 s, theninduced EMF in
μV\mu Vin the loop is 8n. Find n

Show answer and solution
ε=∣−dφdt∣=∣−AdBdt∣\varepsilon = \left| - \frac{d\varphi}{dt} \right| = \left| - \frac{AdB}{dt} \right|
=.(16×4−4×2)(1000−500)5×10−4×10−4=.(16 \times 4 - 4 \times 2)\frac{(1000 - 500)}{5} \times 10^{- 4} \times 10^{- 4}
=56×5005×10−8=56×10−6V= 56 \times \frac{500}{5} \times 10^{- 8} = 56 \times 10^{- 6}V

Source: Grass-G / P-13 Physics paper 4 Nov.docx

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