0 votes
382 views
in Physics by (98.9k points)
edited

The magnetic flux linked with a coil (in Wb) is given by the equation
\(\phi=5t^2+3t+16\)
The magnitude of induced emf in the coil at the fourth second will be
(1) 10 V
(2) 33 V
(3) 43 V
(4) 108 V

1 Answer

0 votes
by (98.9k points)
selected by
 
Best answer

Given: Magnetic flux (ϕ) = 5t2 + 3t + 16

induced emf = \(-\frac{d\phi}{dt}\)

\(\epsilon\)=\(\frac{d(5t^2+3t+16}{dt}\) =10t+3

Therefore induced e.m.f. , when t=3,

\(|\epsilon_3|=(10\times3)+3=33 V\)

induced e.m.f. , when t=4 ,

\(|\epsilon_4|=(10\times4)+3=43 V\)

Therefor e.m.f. induced in the fourth second 

=\(|\epsilon_4|-|\epsilon_3|=43-33=10V\)

Related questions

Doubtly is an online community for engineering students, offering:

  • Free viva questions PDFs
  • Previous year question papers (PYQs)
  • Academic doubt solutions
  • Expert-guided solutions

Get the pro version for free by logging in!

5.7k questions

5.1k answers

108 comments

554 users

...