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- I2R=E I3+I2=I1 -I2R+L(dI3/dt)=0 After some algebra I got -I1R+I3R+L(dI3/dt)=0 which gives me I3(t)=-I1[1-e-(Rt/L)]. Is this correct? This equation suggests after the inductor is charged up the current will not flow through the resistor?