تتشابه طريقة الحل مع الدائرة علي التوازي و لكن يتم الحل بالنسبة الي الجهد علي المكثف ، وسيتم استخدام الدائرة الموضحة بالشكل التالي في التحليل مع افتراض أن الطاقة المخزنة في البداية تساوي صفر.

و توجد ثلاثة حلول :

Example

The initial energy stored in the circuit is zero. At t = 0, a dc current source of 24 mA is applied to the circuit. The value of the resistor is 400 Ω.

1. What is the initial value of i_L?
2. What is the initial value of di_L/dt?
3. What are the roots of the characteristic equation?
4. What is the numerical expression for i_L(t) when ?

Solution:

1. Since the initial current in the inductor is zero, the inductor prohibits an instantaneous change in its current. Therefore I_L(0) = 0 immediately after the switch has been opened.
   
   

Example

No energy is stored in the inductor or the capacitor when the switch is closed. Find v_C(t) for .