Rice at 20:27, 11 March 2024

2024-03-11T20:27:24Z

← Older revision		Revision as of 20:27, 11 March 2024
Line 54:		Line 54:
	<math>		<math>
	i = C \frac{dv}{dt}		i = C \frac{dv}{dt}
			</math>

			The standard form looks like

			<math>
			V_+ - V_- = \frac{q}{C}
	</math>		</math>

Line 77:		Line 83:
	W = \frac{1}{2} L I^2		W = \frac{1}{2} L I^2
	</math>		</math>

			Equivalent inductance is similar to that of resistors.

	[[Category:Electrical Engineering]]		[[Category:Electrical Engineering]]

Rice: Created page with "A circuit element is a basic unit that has certain rules governing the relationship of voltage across and current through that element beyond the simple conducting wire. There are five ideal basic circuit elements: * voltage source * current source * resistor * capacitor * inductor There will be no proofs for the equations here. That's a physics thing that probably deserve their own page. ==== Ideal ==== This page will focus on '''ideal''' circuit elements. The real..."

2024-03-08T07:17:32Z

Created page with "A circuit element is a basic unit that has certain rules governing the relationship of voltage across and current through that element beyond the simple conducting wire. There are five ideal basic circuit elements: * voltage source * current source * resistor * capacitor * inductor There will be no proofs for the equations here. That's a physics thing that probably deserve their own page. ==== Ideal ==== This page will focus on '''ideal''' circuit elements. The real..."

New page

A circuit element is a basic unit that has certain rules
governing the relationship of voltage across and current
through that element beyond the simple conducting wire.

There are five ideal basic circuit elements:
* voltage source
* current source
* resistor
* capacitor
* inductor

There will be no proofs for the equations here. That's a
physics thing that probably deserve their own page.

==== Ideal ====

This page will focus on '''ideal''' circuit elements. The
real world is complicated; we make things convenient for
ourselves by assuming certain properties despite being
unrealistic. For example, an ideal voltage source outputs
the same voltage regardless of current passing through it.

= Resistor =

The '''resistor''' dissipates energy depending on their
'''resistance <math>R</math>'''. They follow Ohm's Law:

<math>
v = ir
</math>

The power disspated by a resistor can be calculated by

<math>
p = i v
</math>

You can substitute <math>i</math> and <math>v</math> such
that it only takes in one of them and the resistance.

= Capacitor =

The '''capacitor''' is one of two basic energy storing
circuit elements (the other being the inductor). They
gather charge depending on voltage and '''capacitance
<math>C</math>'''.

<math>
Q = CV
</math>

Taking time derivative on both sides, we have

<math>
i = C \frac{dv}{dt}
</math>

The energy stored within a capacitor is given by

<math>
W = \frac{1}{2} C V^2
</math>

= Inductor =

The '''inductor''' is also an energy storing circuit element.
They "resist" changes in current and stores energy based on
'''inductance <math>L</math>'''.

<math>
V = L \frac{di}{dt}
</math>

The energy stored within a capacitor is given by

<math>
W = \frac{1}{2} L I^2
</math>

[[Category:Electrical Engineering]]

Circuit Element - Revision history

Rice at 20:27, 11 March 2024