Transient states in electrical circuits


Charging capacitor – transient state

Electrical circuit is built with:
• voltage source E
• resistor R
• switch X1
• capacitor C
Capacitor has collected an initial charge Q0 between its electrodes, thus, it has an initial voltage UC0=Q0/C.

Charging capacitor - electrical circuit

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 capacitor’s current will be taken under consideration.

Charging capacitor – transient state

Discharging capacitor – transient state

Electrical circuit is built with:
• voltage source E
• resistor R
• switches X1, X2
• capacitor C
Capacitor was being charged with to its full capacity and it is in stable state. Capacitor initial voltage is equal to voltage source UC0=E.

Discharging capacitor - electrical circuit

Switch X2 is being closed and switch X1 is being opened, both switches change their state in the same time. As a result capacitor’s discharging current i(t) starts to flow in circuit. Immediately after closing the switch X2 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 capacitor’s current will be taken under consideration.

Discharging capacitor – transient state

Charging inductivity – transient state

Electrical circuit is built with:
• voltage source E
• resistor R
• switch X1
• inductivity L

Charging inductivity - electrical circuit

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.

Charging inductivity – transient state

Discharging inductivity – transient state

Electrical circuit is built with:
• voltage source E
• resistor R
• switches X1, X2
• inductivity L

discharging inductivity - electrical circuit

Switch X2 is being closed and switch X1 is being opened, both switches change their state in the same time. As a result inductivity discharging current i(t) starts to flow in circuit. Immediately after closing the switch X2 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 voltage will be taken under consideration.

Disharging inductivity – transient state

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