Electrical circuit is built with:
• voltage source E
• resistor R
• switch X1
• inductivity L
Switch X1 is being closed at specific time, thus, current i(t) starts to flow in circuit. Immediately after closing the switch X1 the transient state occurs in electrical circuit, therefore, commutation principles have to taken under consideration. Kirchhoff's voltage law equation will be written for circuit. General formula for inductivity's current will be taken under consideration.
Kirchhoff's voltage law equation will be rewritten to create differential equation.
Differential equation with separated variables which has to be solved. To solve this differential equation substitution method will be applied.
After solving differential equation a relation for inductivity's current iL(t) is obtained. Formula is related to inductivity charging time's transient state. Inductivity charging circuit's time constant appears in formula → T=L/R.
ATo obtain formula for inductivity's voltage uL(t) a derivative of inductivity's current has to be computed → uL(t)=L·diL(t)/dt. Formula is related to inductivity charging time's transient state. Inductivity charging circuit's time constant appears in formula → T=L/R.
Inductivity's charging current iL(t) received from simulation for following elements values:
• voltage source E=12V
• resistor R=1kΩ
• inductivity L=1mH
Inductivity's charging voltage uL(t) received from simulation for following elements values:
• voltage source E=12V
• resistor R=1kΩ
• inductivity L=1mH
