Answer :
The induced emf opposing the current is approximately -3.84 V for the 8.00 A current through a 4.00 mH inductor is switched off in 8.33 ms.
To find the induced emf in the inductor, we can use the formula:
emf = -L * (ΔI/Δt)
where:
emf = induced electromotive force (in volts)
L = inductance of the inductor (in Henrys)
ΔI = change in current (in amperes)
Δt = time taken for the current to change (in seconds)
Given the information in your question:
L = 4.00 mH = 4.00 * [tex]10^{-3}[/tex] H (converting millihenry to henry)
ΔI = 8.00 A (since the current is switched off, the change is equal to the initial current)
Δt = 8.33 ms = 8.33 * [tex]10^{-3}[/tex] s (converting milliseconds to seconds)
Now, we can plug these values into the formula:
emf = - (4.00 * [tex]10^{-3}[/tex] H) * (8.00 A) / (8.33 * [tex]10^{-3}[/tex] s)
emf = - (32 * 10^-3) / (8.33 * [tex]10^{-3}[/tex])
emf ≈ -3.84 V
The induced emf opposing the current is approximately -3.84 V. The negative sign indicates that the induced emf opposes the change in current, as expected.
To learn more about electromotive force, refer:-
https://brainly.com/question/13753346
#SPJ11
The EMF induced in the inductor opposing the change in current is approximately 3.84 V.
To find the EMF induced in the inductor, we'll need to use the formula for the induced EMF in an inductor, which is:
EMF = -L × (ΔI / Δt)
Here, EMF is the induced electromotive force, L is the inductance, ΔI is the change in current, and Δt is the time interval during which the current changes.
Given the information in your question, we have:
[tex]L = 4.00 mH = 0.004 H[/tex] (converting millihenries to henries)
[tex]ΔI = 8.00 A[/tex] (the current goes from 8 A to 0 A)
[tex]Δt = 8.33 ms = 0.00833 s[/tex] (converting milliseconds to seconds)
Now, plug the values into the formula:
EMF =[tex]-0.004 H × (8.00 A / 0.00833 s)[/tex]
EMF = [tex]-3.8408 V[/tex]
Since we're looking for the magnitude of the induced EMF, we can ignore the negative sign:
EMF = 3.8408 V
to know more about EMF refer here:
https://brainly.com/question/16626131#
#SPJ11
