Answer:
E= -3.166 cosωt V
Explanation:
Given that
I = Imax sinωt
L= 8.4 m H
Imax= 4 A
f = ω/2π = 60.0 Hz
ω = 120π rad/s
We know that self induce E given as
[tex]E=-L\dfrac{dI}{dt}[/tex]
[tex]\dfrac{dI}{dt}= Imax \ \omega\ cos\omega t[/tex]
[tex]E=-L\times Imax \ \omega\ cos\omega t[/tex]
[tex]E=-8.4\times 120\times \pi \ cos\omega t[/tex]
E= -3166.72 cosωt m V
E= -3.166 cosωt V
This is the induce emf.
