Question
Calculate the dimensions of:
  1. $\int\vec{\text{E}}.\vec{\text{dl}}.$
  2. $\text{vBl}$
  3. $\frac{\text{d}\psi_{\text{B}}}{\text{dt}}$
The symbols have their usual meanings.

Answer

  1. $\int\vec{\text{E}}.\vec{\text{dl}}=\text{ML}\text{T}^{-3}\text{l}^{-1}=\text{ML}^2\text{l}^{-1}\text{T}^{-3}$
  2. $\text{vBl}=\text{LT}^{-1}\times\text{Ml}^{-1}\text{T}^{-2}\times\text{L}=\text{ML}^2\text{l}^{-1}\text{T}^{-3}$
  3. $\frac{\text{d}\phi_{\text{B}}}{\text{dt}}=\text{Ml}^{-1}\text{T}^{-2}\times\text{L}^2=\text{ML}^2\text{l}^{-1}\text{T}^{-2}$

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