How Do You Calculate Energy Delivered to an Inductor Over Time?

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To calculate the energy delivered to a 4H inductor with a current described by i = 2t^2 - 1 Amps from t=1 to t=3, the energy differential is expressed as dw = Li di. The change in current di is determined to be 4t dt. The energy can be calculated using the integral of (2t^2 - 1)(4t) dt from 1 to 3 seconds. The poster seeks confirmation of their approach, which is affirmed as correct. The calculations align with the principles of energy in inductors.
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Homework Statement


the current through an element is i = 2t^2 - 1 Amps. if that element is a 4H inductor, what is the energy delivered to it from time t=1 to t=3.


Homework Equations


energy in an inductor is dw = Li di


The Attempt at a Solution


i = 2t^2 - 1
di = 4t dt
w = L integral[ (2t^2 - 1)(4t) dt ] from 1 to 3 seconds

i just want to confirm it with someone if i did it right or not. i felt like i did. thanks.
 
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