- #1
Gughanath
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Show that the equation is homogeneous with respect to units:
I = nAQv
I can't prove it, please help
I = nAQv
I can't prove it, please help
You DID mean free charge CARRIERS per unit volume?vincentchan said:n represents number of free charge per unit voloume, and it has a dimension of one over volume, don't forget next time
A homogeneous equation is a type of mathematical equation where all the terms have the same degree. This means that each term has the same number of variables raised to the same power. For example, x^2 + 2xy + y^2 = 0 is a homogeneous equation because each term has two variables raised to the second power.
To determine if an equation is homogeneous, you must check if all the terms have the same degree. This can be done by looking at the exponents of the variables in each term. If they are all the same, then the equation is homogeneous.
If an equation is homogeneous, it can be solved using certain techniques and methods that are specific to homogeneous equations. This can make solving the equation easier and more efficient.
To show that an equation is homogeneous, you must first rearrange the equation so that all the terms are on one side and the constant is on the other side. Then, you must check if all the terms have the same degree. If they do, then the equation is homogeneous.
No, an equation can only be either homogeneous or non-homogeneous. If an equation has terms with different degrees, then it is considered non-homogeneous. However, it is possible for a system of equations to have both homogeneous and non-homogeneous equations.