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Standard X

Physics

Faraday's Law

The expressio...

Question

The expression for induced charge in a coil is :

q = \frac{N}{R} (ϕ_{1} - ϕ_{2})

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q = R (ϕ_{1} - ϕ_{2})

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q = \frac{N R}{(ϕ_{1} - ϕ_{2})}

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q = (ϕ_{1} - ϕ_{2}) / N R

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Solution

The correct option is B $q = \frac{N}{R} (ϕ_{1} - ϕ_{2})$
Induced emf = $N \frac{d ϕ}{d t}$

Induced current = $N \frac{1}{R} \frac{d ϕ}{d t}$ (By Ohm's Law)

Induced current = $N \int_{t = t_{1}}^{t = t_{2}} i d t = N \int_{t = t_{1}}^{t = t_{2}} \frac{1}{R} \frac{d ϕ}{d t} d t = N \int_{t = t_{1}}^{t = t_{2}} \frac{1}{R} d ϕ = N \frac{ϕ_{2} - ϕ_{1}}{R}$

$ϕ$ = flux through one loop

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Similar questions

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The expression for induced charge in a coil is :

The correct option is B q=NR(ϕ1−ϕ2)Induced emf = NdϕdtInduced current = N1Rdϕdt (By Ohm's Law)Induced current = N∫t=t2t=t1idt=N∫t=t2t=t11Rdϕdtdt=N∫t=t2t=t11Rdϕ=Nϕ2−ϕ1Rϕ = flux through one loop