Consider a capacitor connected in series with a 5ohm resistor and a zener diode of 20v. The voltage across the 5ohm resistor at time t will be 10e^(-t/5C) and so the current will be 2e^(-t/5C). Since resistance is define as ration between voltage and current the resistance seen by the zener diode by the capacitor at time t will be 10e^(t/5C). So can we say that the resistance seen by the capacitor at time t will be 5+10e^(t/5C)? It is obvious to see that V(t) for the capacitor is 20+10e^(-t/5C). By using I=-Cdv/dt, i try whether i can obtain the same v(t) by using the equation V/5+10e^(t/5C)=-Cdv/dt and i integrate the equation by using integration by substitution method and get back the same answer for v(t) which is 20+10e^(-t/5C).
By using voltage divider formula also, the voltage drop across zener diode
v(t)*R(t)/5+R(t)=20+10e^(-t/5C)*10e^(t/5C)/(10e^(t/5C)+5)=20
At here, can we say that in a circuit diagram which consist a capacitor connected in series with a resistor and a zener diode have the same electrical properties as the circuit diagram which consist of a capacitor connected in series with the same resistor and 20v voltage supply or a "virtual resistor" which has the same parameter as R(t)? Such concept is also applicable to other electrical component right?such as an active regulator?
By using voltage divider formula also, the voltage drop across zener diode
v(t)*R(t)/5+R(t)=20+10e^(-t/5C)*10e^(t/5C)/(10e^(t/5C)+5)=20
At here, can we say that in a circuit diagram which consist a capacitor connected in series with a resistor and a zener diode have the same electrical properties as the circuit diagram which consist of a capacitor connected in series with the same resistor and 20v voltage supply or a "virtual resistor" which has the same parameter as R(t)? Such concept is also applicable to other electrical component right?such as an active regulator?
