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ss7ja [257]
3 years ago
6

What is the differential equation governing the growth of current in the circuit as a function of time after t=0? express the ri

ght-hand side of the differential equation for di(t)dt in terms of i(t), vb, r, and l?
Physics
1 answer:
Reika [66]3 years ago
3 0

Answer:

v_{b}=ir+L\frac{di}{dt}

Explanation:

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

v_{b}=v_{r}+v_{i}

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

v_{r}=ir\\v_{i}=L\frac{di}{dt}

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

v_{b}=ir+L\frac{di}{dt}

I hope this is useful for you

regards

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