Due to change in magnetic flux linked with a coil of resistance $$10$$ ohm, a current is induced in it. The variation of induced current i in $$amperes)$$ with time t (in$$ $$seconds) is shown in figure. The magnitude of change in flux through the coil (from$$ t $$=$$ $$0$$ to t $$=$$ $$2$$ $$seconds) in Webers is:

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Infinity Learn · Accepted Answer

Change in flux Δϕ$$=$$ΔQRWhere ΔQ is charge that has passed through loop and R is loop resistance.∴Δϕ$$=12$$×base×height×$$R=12$$×$$20$$×$$2$$×$$10=200$$ weber.

Magnetic flux and induced emf

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Due to change in magnetic flux linked with a coil of resistance 10 ohm, a current is induced in it. The variation of induced current i in amperes) with time t (in seconds) is shown in figure. The magnitude of change in flux through the coil (from t = 0 to t = 2 seconds) in Webers is:

Change in flux $Δϕ = ΔQR$
Where $ΔQ$ is charge that has passed through loop and R is loop resistance.
$∴ Δϕ = (\frac{1}{2} \times b a s e \times h e i g h t) \times R = (\frac{1}{2} \times 20 \times 2) \times 10 = 200 weber.$

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Magnetic flux and induced emf

Unlock the full solution & master the concept.

Due to change in magnetic flux linked with a coil of resistance 10 ohm, a current is induced in it. The variation of induced current i in amperes) with time t (in seconds) is shown in figure. The magnitude of change in flux through the coil (from t = 0 to t = 2 seconds) in Webers is:

Change in flux Δϕ=ΔQRWhere ΔQ is charge that has passed through loop and R is loop resistance.∴Δϕ=12×base×height×R=12×20×2×10=200 weber.

Ready to Test Your Skills?

free study material

Change in flux $Δϕ = ΔQR$
Where $ΔQ$ is charge that has passed through loop and R is loop resistance.
$∴ Δϕ = (\frac{1}{2} \times b a s e \times h e i g h t) \times R = (\frac{1}{2} \times 20 \times 2) \times 10 = 200 weber.$