What is a formula for ENF that relates I (current) and H (Henry) ?

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To find the induced emf in a 51 mH inductor with a current defined by I = b t² - a t, where a = 20 A/s and b = 7 A/s², differentiation of the current equation is necessary. The formula for induced emf is given by E = -L(dI/dt), where L is the inductance in henries. By calculating the derivative of the current function and substituting the values, the magnitude of the induced emf at t = 1.2 s can be determined. The discussion confirms that differentiating the current equation is the correct approach to solve the problem. This method effectively leads to the solution for the induced emf.
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Homework Statement



I have this question. If I can get that formula, I will be able to solve it! :)

Here is the question:

The current in a 51 mH inductor changes with time as I = b t2 − a t. With a = 20 A/s and b = 7 A/s2, find the magnitude of the induced emf, |E|, at t = 1.2 s. Answer in units of V.

E = Emf

Homework Equations



This is what I need to know! :)

The Attempt at a Solution



I am guessing that I will have to differentiate the equation. Please help! :)

Thanks
 
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The induced emf in a pure inductor is -LdI/dt (L in henry)
You guessed right!
 
thanks! :) it works! :)
 

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