Recent content by izchief360

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    Undergrad How Do You Simplify This Vector Expression?

    Thanks folks, I solved it. The process included taking the inside terms of the entire first term and dotting them with the entire second term as follows: (4u + 3v) ⋅ (4u − 2v) [4u ⋅ (4u − 2v)] + [3v ⋅ (4u − 2v)] 16u2 - 8u⋅v + 12u⋅v - 6v2 and for the second part, ll 3u − 4v ll2 is equivalent to...
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    Undergrad How Do You Simplify This Vector Expression?

    Is the inner product equivalent to the dot product? The only relevant formula I know is the that of the dot product, but I am unsure of how to apply order of operations when dealing with vectors.
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    Undergrad How Do You Simplify This Vector Expression?

    I'm trying to simplify the following expression: (4u + 3v) ⋅ (4u − 2v) − ll 3u − 4v ll2 And I'm unsure how to proceed.
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    Virial Expansion of Van Der Waals Equation

    Homework Statement If the compressability factor is given at a certain temperature as a function of pressure: Z(T) = 1+αP+βP2 find α and β in the form α(a, b, T) and β(a, b, T) where a and b are the van der waals coefficients. Homework Equations nRT=(P+a(n/V)2))(V-nb) Z=PV/nRT The Attempt...
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    Using Wave Equation to Prove that EM Waves are Light

    I've looked over my derivation (attached in original post) and can't seem to find any errors.
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    Using Wave Equation to Prove that EM Waves are Light

    Thanks for the help! So, if w = kv, then (w^2) = (k^2)(v^2) and: w^2 = (k^2)/(v^2)(1/μ0ε0) simplifies to (v^2) = (1/v^2)(c^2) which goes to (v^4) = (c^2) ...now?
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    Using Wave Equation to Prove that EM Waves are Light

    Homework Statement I'm working on using the wave equation to prove that EM waves are light. Homework Equations Here's what I'm working with: E = Em sin(kx-wt) B = Bm sin(kx-wt) ∂E/∂x = -∂B/∂t -∂B/∂x = μ0ε0 ∂E/∂t and the wave equation: ∂2y/∂x2 = 1/v^2(∂2y/∂t2) The Attempt...