Difference between revisions of "RC Circuits"

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= What is a Capacitor and what is Capacitance =
= What is a Capacitor and what is Capacitance =
See [[Capacitors]]


== Capacitor Discharge (Voltage over Time) ==
= RC Circuits =
During the discharge of a capacitor through a resistor, the voltage decreases exponentially over time.
== Capacitor Charging (Voltage over Time) ==
<math> V(t) = V_0 e^{-\frac{t}{RC}} </math>
[[File:Charging.png|right|400px]]
During charging, the voltage across a capacitor increases exponentially, approaching its final value.
<math> V(t) = V_0 \left( 1 - e^{-\frac{t}{RC}} \right) </math>
*Where:*
*Where:*
* *V(t)* is the voltage at time t (in volts, V)
* *V(t)* is the voltage at time t (in volts, V)
* *V_0* is the initial voltage (in volts, V)
* *V_0* is the final voltage (in volts, V)
* *R* is the resistance (in ohms, Ω)
* *R* is the resistance (in ohms, Ω)
* *C* is the capacitance (in farads, F)
* *C* is the capacitance (in farads, F)
* *t* is time (in seconds, s)
* *t* is time (in seconds, s)


== Capacitor Charging (Voltage over Time) ==
 
During charging, the voltage across a capacitor increases exponentially, approaching its final value.
== Capacitor Discharge (Voltage over Time) ==
<math> V(t) = V_0 \left( 1 - e^{-\frac{t}{RC}} \right) </math>
[[File:Discharging.png|right|400px]]
During the discharge of a capacitor through a resistor, the voltage decreases exponentially over time.
<math> V(t) = V_0 e^{-\frac{t}{RC}} </math>
*Where:*
*Where:*
* *V(t)* is the voltage at time t (in volts, V)
* *V(t)* is the voltage at time t (in volts, V)
* *V_0* is the final voltage (in volts, V)
* *V_0* is the initial voltage (in volts, V)
* *R* is the resistance (in ohms, Ω)
* *R* is the resistance (in ohms, Ω)
* *C* is the capacitance (in farads, F)
* *C* is the capacitance (in farads, F)
* *t* is time (in seconds, s)
* *t* is time (in seconds, s)


 
== Example Graphs ==
[[File:RC example graph.png|left|400px]]
<br class="clear"/>
<div style="clear:both;"></div>


= Videos =
= Videos =
<youtube>vT6uonSYS9U</youtube>
<youtube>Fjzy6cHNn6w</youtube>
<youtube>Fjzy6cHNn6w</youtube>



Latest revision as of 17:28, 27 September 2024

Back to Electricity_and_Magnetism

Textbook

What is a Capacitor and what is Capacitance

See Capacitors

RC Circuits

Capacitor Charging (Voltage over Time)

Charging.png

During charging, the voltage across a capacitor increases exponentially, approaching its final value.

  • Where:*
  • *V(t)* is the voltage at time t (in volts, V)
  • *V_0* is the final voltage (in volts, V)
  • *R* is the resistance (in ohms, Ω)
  • *C* is the capacitance (in farads, F)
  • *t* is time (in seconds, s)


Capacitor Discharge (Voltage over Time)

Discharging.png

During the discharge of a capacitor through a resistor, the voltage decreases exponentially over time.

  • Where:*
  • *V(t)* is the voltage at time t (in volts, V)
  • *V_0* is the initial voltage (in volts, V)
  • *R* is the resistance (in ohms, Ω)
  • *C* is the capacitance (in farads, F)
  • *t* is time (in seconds, s)

Example Graphs

RC example graph.png


Videos


Simulations



Other Links


Back to Electricity_and_Magnetism