Electrical Engineering: Basic Laws (4 of 31) What is Conductance?
Summary
TLDRThis video explains the concept of conductance, which is the ability of an element to conduct electrical current. Conductance is the inverse of resistance, meaning lower resistance results in higher conductance, and vice versa. The unit of conductance is the siemens (S), and it is defined as 1 ampere per volt. The video further discusses how conductance relates to Ohm's Law, where G = 1/R, and how it can be used in calculating power dissipation in a circuit. Different equations involving conductance, resistance, and power are explored to deepen understanding.
Takeaways
- 🔌 Conductance is the ability of an element to conduct electrical current.
- 🔄 Conductance is the inverse of resistance. Higher resistance means lower conductance and vice versa.
- 📏 Conductance is measured in units of Siemens (S), which is equivalent to 1 ampere per volt.
- 🔄 The symbol for conductance is derived from the Ohm symbol, reversed, and it can also be called a mho.
- 📐 Ohm's Law is key to understanding conductance, as it relates voltage (V), current (I), and resistance (R).
- 💡 Conductance (G) is defined as 1/R, meaning it represents how much current can flow per unit voltage.
- ⚡ Power dissipation can be expressed in multiple ways using conductance, such as P = I²/G.
- 🧩 When voltage and current are known, conductance can be calculated as G = I/V.
- 🔋 The power dissipation equations can be rewritten in terms of conductance for different circuit analysis approaches.
- 📊 Overall, understanding conductance helps analyze circuit behavior, especially how easily current flows.
Q & A
What is conductance?
-Conductance is the ability of an element to conduct electrical current. The more current it allows to flow through, the higher the conductance.
How is conductance defined in relation to resistance?
-Conductance is defined as the inverse of resistance. The lower the resistance, the higher the conductance.
What is the unit of conductance?
-The unit of conductance is the Siemens (symbolized as S), and 1 Siemens is equal to 1 ampere per volt.
What is the symbol for the unit of conductance in the script?
-The symbol for the unit of conductance in the script is 'mho', which is the ohm symbol upside down.
How is the relationship between current (I), voltage (V), and resistance (R) expressed in Ohm's law?
-Ohm's law is expressed as I = V/R, which means the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them.
How can conductance (G) be expressed using Ohm's law?
-Using Ohm's law, conductance (G) can be expressed as G = 1/R. Since G is the inverse of resistance, it can also be written as G = I/V.
What is the power dissipation equation in terms of conductance?
-The power dissipation equation in terms of conductance is P = I^2 * R. However, since G = I/V, power can also be expressed as P = G * V^2.
How can power dissipation be related to conductance and voltage?
-Power dissipation can be related to conductance and voltage by the equation P = G * V^2, showing that power is directly proportional to the square of the voltage and the conductance.
What does it mean when it's said that 'conductance is the inverse of resistance'?
-It means that as resistance decreases, conductance increases, and vice versa. They are inversely proportional to each other.
How does the script describe the relationship between power, current, and conductance?
-The script describes that power (P) is equal to the product of current (I) and voltage (V), and since G = I/V, power can also be expressed as P = G * V^2, showing that power is directly proportional to the square of the voltage and the conductance.
What is the significance of the mho as a unit of conductance?
-The mho, being the inverse of the ohm, signifies the reciprocal relationship between resistance and conductance, making it a convenient unit for expressing conductance.
Outlines
⚡ Introduction to Conductance
The video introduces the concept of conductance, defined as the ability of an element to conduct electrical current. Conductance is the inverse of resistance: the lower the resistance, the higher the conductance, and vice versa. The unit of resistance is ohms, while the unit for conductance is siemens (S), sometimes represented as 'mho' (ohm spelled backward). One siemen is equivalent to one ampere per volt, and the video also introduces the basic relationship between current (I), voltage (V), and resistance (R) using Ohm’s law.
🔄 Ohm's Law and Conductance Relation
The relationship between Ohm's law and conductance is discussed in more detail. Ohm's law states that I = V/R, and since conductance (G) is the inverse of resistance (G = 1/R), it can be expressed as G = I/V. The video further explains how this relationship can be used to understand how much current flows in a circuit given the voltage applied and the resistance present.
⚙️ Conductance and Power Dissipation
The video elaborates on how power dissipation in a circuit is related to conductance. Power (P) can be calculated using different formulas, such as P = I²R or P = V²/R. With conductance, power can also be expressed as P = I²/G. The video explores how replacing current (I) with conductance (G) in these equations allows for different interpretations of power dissipation in electrical circuits.
🔁 Summary of Conductance and Resistance
The video recaps the relationship between conductance and resistance, emphasizing that they are inversely related. The higher the resistance in a circuit, the lower the conductance, and vice versa. This inverse relationship is crucial for understanding electrical behavior in circuits and the dissipation of power. The video concludes by reiterating the importance of conductance in electrical systems.
Mindmap
Keywords
💡Conductance
💡Resistance
💡Ohms
💡Mho
💡Siemens
💡Ohm's Law
💡Ampere
💡Volt
💡Power Dissipation
💡Inverse
Highlights
Conductance is the ability of an element to conduct electrical current; the more it allows current to flow, the higher the conductance.
Conductance is the inverse of resistance; lower resistance leads to higher conductance, and higher resistance leads to lower conductance.
The unit for conductance is the Siemens (S), which is equivalent to 1 ampere per volt.
The term 'mho' is also used for conductance, which is the ohm symbol written upside down and reversed.
Conductance (G) is defined as the reciprocal of resistance (R), G = 1/R.
According to Ohm’s law, I = V/R, and since G = 1/R, we can express G as I/V.
Power dissipation in a circuit can be expressed in multiple ways: P = I²R, P = IV, and P = V²/R.
By replacing I with G times V, power dissipation can also be expressed as P = G * V².
The definition of conductance as G = I/V implies that it directly relates to how much current flows per unit voltage.
Ohm’s law and the power dissipation equation can both be rewritten in terms of conductance (G).
Higher conductance means more current flows through the element for the same voltage.
Power dissipation can be expressed in terms of conductance as P = I² / G.
The relationship between resistance and conductance is crucial in understanding the behavior of electrical circuits.
Substituting values of conductance into Ohm’s law leads to simplified equations for analyzing circuit power dissipation.
In summary, conductance is a key parameter for describing how efficiently an element conducts electrical current, and it inversely correlates with resistance.
Transcripts
welcome to electron line in this video
we're going to talk about conductance
now what is conductance the definition
conductance is the ability of an element
to conduct electrical current so the
more it allows current to flow through
it the higher the conductance
conductance in essence the definition is
the inverse of resistance the lower the
resistance to higher the conductance the
high de resistance the lower the
conductance since the units for
resistance our ohms 1 over ohms then
becomes or the inverse of ohms then
becomes the unit for conductance it's
actually the ohm symbol upside down and
we call it the mo the mo is ohm written
in Reverse a more standard unit for
conductance is to seamen we use the
symbol s for the seaman and therefore 1
mo is equal to 1 seaman and the
definition of a seaman or a mo is 1 amp
per volt the amount occurred that can
flow per unit voltage supplied to the
circuit
since I is equal to V over R and since R
is equal to V divided by I simply
solving Ohm's law for the resistance and
since G is 1 over R you can then see
that we can write G which is 1 over R as
I over V and again the unit's amps per
volt since power dissipated is I square
R and using Ohm's law we can also write
it in terms of I times V or V squared
divided by R we can then say that power
is I times V and since G is I divided by
V we can then replace I by G times V so
we can solve this equation we can then
write AI is equal to G times V if we
substitute that in for I here we get G
times V squared and again if we
substitute G 4 I divided by V we're
going to write P the power dissipated by
an element in the circuit is equal to I
square divided by G so those are
different ways in which we can look at
the conductor
and how conductance is related to Ohm's
law and the power dissipation equation
again conductance the inverse of
resistance to hide the resistance the
lower the conductance the lower the
resistance the higher the conductance
and that's what we mean by conductance
in the circuit
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