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## What is the differential equation governing the growth of current in the circuit as a function of time after t=0? express the right-hand sid

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What is the differential equation governing the growth of current in the circuit as a function of time after t=0? express the right-hand side of the differential equation for di(t)dt in terms of i(t), vb, r, and l?

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Physics
3 years
2021-08-11T03:50:42+00:00
2021-08-11T03:50:42+00:00 1 Answers
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## Answers ( )

Answer:Explanation:A differential equation that contain a term with di(t)/dt is in a RL circuit. Here we have

where vr is the voltage in the resistance, vi is the voltage in the inductance and vb is the source voltage. But also we have that

where L is the inductance of the circuit, r is the resistance an i is the current. By replacing we have the differential equation

I hope this is useful for you

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