Introduction to First Order Differential Equation

V/I Relation characteristics for capacitor

• $i_c\left(t\right)=R\frac{\text{d}v_c\left(t\right)}{\text{d}t}$

• $i_c\left(t\right)=C\frac{\text{d}v_c\left(t\right)}{\text{d}t}$

• $v_c\left(t\right)=C\frac{\text{d}v_c\left(t\right)}{\text{d}t}$

Which component are included in First Order circuit?

• Inductor and Capacitor

• Resistor and Transistor

• Resistor and Inductor

• Resistor and Capacitor

Choose basic equation for First Order Differential Equation. (You can choose more than one answer)

•  $\frac{\text{d}v\left(t\right)}{\text{d}t}+av\left(t\right)=f\left(t\right)$  

•  $\frac{\text{d}v\left(t\right)}{\text{d}t}+av\left(t\right)=i\left(t\right)$  

•  $\frac{\text{d}i\left(t\right)}{\text{d}t}+ai\left(t\right)=f\left(t\right)$  

•  $\frac{\text{d}v\left(t\right)}{\text{d}t}+ai\left(t\right)=f\left(t\right)$  

GIven in the figure is the switch condition. Pick the correct answer

• when t>0, circuit is in open

  when t<0, circuit is in open

• when t>0, circuit is in close

  when t<0, circuit is in open

• when t>0, circuit is in open

  when t<0, circuit is in close

• when t>0, circuit is in close

  when t<0, circuit is in close

Select the correct answer for time constant

The time constant is _____ of initial value

• 36.8%

• 3.68%

• 0.368%

• 38.6%