Hi, I was wondering am I correct to say that in a circuit, more current will flow in the path where the resistance is the least? If an inductor and a resistor are connected in parallel to a battery with the inductor initially uncharged. The current passing through the inductor will rise slowly to a certain value correct? But how do we find the current passing through the inductor? I tried using Kirchoff's law and got these three equations-(adsbygoogle = window.adsbygoogle || []).push({});

I_{2}R=E

I_{3}+I_{2}=I_{1}

-I_{2}R+L(dI_{3}/dt)=0

After some algebra I got -I_{1}R+I_{3}R+L(dI_{3}/dt)=0 which gives me I_{3}(t)=-I_{1}[1-e^{-(Rt/L)}]. Is this correct? This equation suggests after the inductor is charged up the current will not flow through the resistor?

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# Homework Help: How does current move

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