AP EAMCET Engineering 23 Sep 2020 Shift 1 Paper

As we know, induced emf,
e=‌

∆φ

∆t

....(i)
and induced current.
i=‌

e

R

.....(ii)
If the total electric charge Q has been flown during ∆ l time through any point of the circuit, then we may write
i=‌

Q

∆t

or ‌

Q

∆t

=‌

e

R

[from Eq. (ii)]
or e=‌

Q

∆l

×R....(iii)
Equating both Eqs. (i) and (iii), we get
‌

∆φ

∆t

=‌

Q

∆t

×R‌‌ or ‌‌Q=‌

∆θ

R