Dicharging a Capacitor - Revision history

NRJC: /* Formula */

2024-05-22T18:14:36Z

‎Formula

2024-05-22T18:13:16Z

‎Examples

2024-05-22T18:12:26Z

‎Examples

2024-05-22T18:09:46Z

‎Formula

2024-05-22T18:00:04Z

‎About Capacitor Discharge

2024-05-22T17:55:38Z

‎Formula

2024-05-22T17:50:42Z

‎Formula

2024-05-22T17:50:21Z

‎Formula

2024-05-22T17:50:06Z

‎Formula

2024-05-22T17:49:40Z

‎Formula

@@ Line 38: / Line 38: @@
 V<sub>0</sub> is the initial [[Potential Difference|potential difference]] across the [[capacitor]],
-I<sub>0</sub> is the initial [[Electrical Current|current]] through the [[Electrical Circuit|circuit]]
+I<sub>0</sub> is the initial [[Electrical Current|current]] through the [[Electrical Circuit|circuit]],
 A [[capacitor]]'s rate of '''discharge''' in a [[Electrical Circuit|circuit]] is characterised by the [[Capacitor Time Constant|time constant]] 𝜏 which is given by the formula:

@@ Line 46: / Line 46: @@
 ===Examples===
-*In a [[defibrillator]], the capacitor discharges its energy quickly to deliver a shock to a patient's heart.
+*In a [[defibrillator]], the [[capacitor]] '''discharges''' its energy quickly to deliver a shock to a patient's heart.
-*In RC timing circuits, capacitors discharge to control the timing intervals.
+*In RC timing circuits, [[capacitor]]s '''discharge''' to control the timing intervals.

@@ Line 46: / Line 46: @@
 ===Examples===
-In a [[defibrillator]], the capacitor discharges its energy quickly to deliver a shock to a patient's heart.
+*In a [[defibrillator]], the capacitor discharges its energy quickly to deliver a shock to a patient's heart.
-In RC timing circuits, capacitors discharge to control the timing intervals.
+*In RC timing circuits, capacitors discharge to control the timing intervals.

@@ Line 32: / Line 32: @@
 V is the [[Potential Difference|potential difference]] across the [[capacitor]] at time t,
-I is the [[Electrical Current|current]] being discharged by the [[capacitor]] at time t,
+I is the [[Electrical Current|current]] being '''discharged''' by the [[capacitor]] at time t,
 𝑄<sub>0</sub> is the initial [[Electrical Charge|charge]] stored,

@@ Line 5: / Line 5: @@
 ===About Capacitor Discharge===
-*The [[Potential Difference|voltage]] and [[Electrical Current|current]] also decrease [[Exponential Decay|exponentially]] during '''discharge'''.
+*The [[Electrical Charge|charge]], [[Potential Difference|voltage]] and [[Electrical Current|current]] all decrease [[Exponential Decay|exponentially]] during '''discharge'''.
-*The [[Time Constant|time constant]] determines how quickly a [[capacitor]] '''discharges'''.
+*The [[Time Constant|time constant]] of a [[Electrical Circuit|circuit]] determines how quickly a [[capacitor]] '''discharges'''.
-*A large [[time]] constant means a slow discharge, while a small [[time]] constant means a rapid discharge.
+*A large [[Time Constant|time constant]] means a slow '''discharge''', while a small [[Time Constant|time constant]] means a rapid '''discharge'''.
 *[[Capacitor]] '''discharge''' curves are used to analyze the behaviour of RC circuits.
 *Safety precautions are necessary when '''discharging''' large [[capacitor]]s to avoid [[Electrical Shock|electric shock]].

@@ Line 12: / Line 12: @@
 ===Formula===
-The '''discharge''' through a [[resistor]] follows an [[Exponential Decay|exponential decay]] described by the formula:
+The '''discharge''' through a [[resistor]] follows an [[Exponential Decay|exponential decay]] described by the formulae:
 *<math>𝑄=𝑄_0𝑒^{−𝑡/𝑅𝐶}</math>
-*<math>𝑄=𝑄_0𝑒^\frac{−𝑡}{𝑅𝐶}</math>
 Where:
-𝑄 is the [[Electrical Charge|charge]] stored,
+𝑅 is the [[Electrical Resistance|resistance]] in the [[Electrical Circuit|circuit]],
-𝑄<sub>0</sub> is the initial [[Electrical Charge|charge]] stored,
+𝑄 is the [[Electrical Charge|charge]] stored at time t,
-𝑅 is the [[Electrical Resistance|resistance]] in the [[Electrical Circuit|circuit]],
+I is the [[Electrical Current|current]] being discharged by the [[capacitor]] at time t,
-𝐶 is the [[capacitance]] of the [[capacitor]]
+𝑄<sub>0</sub> is the initial [[Electrical Charge|charge]] stored,
-and
+V<sub>0</sub> is the initial [[Potential Difference|potential difference]] across the [[capacitor]],
-𝑡 is [[time]]
+I<sub>0</sub> is the initial [[Electrical Current|current]] through the [[Electrical Circuit|circuit]]
 A [[capacitor]]'s rate of '''discharge''' in a [[Electrical Circuit|circuit]] is characterised by the [[Capacitor Time Constant|time constant]] 𝜏 which is given by the formula:

@@ Line 15: / Line 15: @@
 *<math>𝑄=𝑄_0𝑒^{−𝑡/𝑅𝐶}</math>
+*<math>𝑄=𝑄_0𝑒^{\frac{−𝑡}{𝑅𝐶}</math>
 Where:

@@ Line 14: / Line 14: @@
 The discharge through a [[resistor]] follows an [[Exponential Decay|exponential decay]] described by the formula:
-: <math>𝑄=𝑄_0𝑒^{−𝑡/𝑅𝐶}</math>
+*<math>𝑄=𝑄_0𝑒^{−𝑡/𝑅𝐶}</math>
 Where:
@@ Line 32: / Line 32: @@
 A [[capacitor]]'s rate of '''discharge''' in a [[Electrical Circuit|circuit]] is characterised by the [[Capacitor Time Constant|time constant]] 𝜏 which is given by the formula:
-: 𝜏 = 𝑅𝐶
+*𝜏 = 𝑅𝐶
 ===Examples===