To find the steady state current we can apply Ohm's Law to the resistor with the voltage across the resistor being equal to the battery voltage. Ohm's Law:
Energy is stored in the magnetic field of the inductor but otherwise it acts like a bare wire. To find the steady state current we can apply Ohm's Law to the resistor with the voltage across the resistor being equal to the battery voltage.
For the steady-state condition the capacitor will be fully charged, its current will be zero, and we treat it as an open. The steady-state equivalent circuit is drawn below in Figure 8.3.6 . Figure 8.3.6 : Circuit of Figure 8.3.3 , steady-state.
Find the amplitude-phase form of the steady state current in the RLC circuit in Figure 6.3.1 if the impressed voltage, provided by an alternating current generator, is E(t) = E0cosωt. We’ll first find the steady state charge on the capacitor as a particular solution of LQ ″ + RQ ′ + 1 CQ = E0cosωt.
As in the case of forced oscillations of a spring-mass system with damping, we call Qp the steady state charge on the capacitor of the RLC circuit. Since I = Q ′ = Q ′ c + Q ′ p and Q ′ c also tends to zero exponentially as t → ∞, we say that Ic = Q ′ c is the transient current and Ip = Q ′ p is the steady state current.
Units are very important when you want to give a physical meaning to your calculations. Secondly, the steady state current is just the theoretical maximum of the current as it builds up as far as it can go. It's a simple relationship between the maximum potential of the battery and the resistance of the circuit.