Chapter 12, Problem 1P

Using Appendix E, fill in the blanks in the following table. Indicate the units for each quantity.

To determine

Value of each quantity in given different units.

Answer to Problem 1P

The value of flux $\varphi$ in CGS unit is $5\times {10}^4\text{maxwells}$, value of flux in SI unit is $5\times {10}^{-4}\text{Wb}$, value of flux in English unit is $5\times {10}^4\text{lines}$, value of flux density in English unit is, $51.616\frac{\text{lines}}{\text{in}{\text{.}}^{\text{2}}}$, value of flux density in CGS unit is $8\text{gauss}$ and value of flux density in SI unit is $8\times {10}^{-4}\text{T}$.

Explanation of Solution

Given:

Value of flux $\varphi$ in SI unit is $5\times {10}^{-4}\text{Wb}$.

Value of flux density in SI unit is $8\times {10}^{-4}\text{T}$.

Calculation:

Value of flux $\varphi$ in SI unit is $5\times {10}^{-4}\text{Wb}$.

  $\begin{array}{c}\varphi =5\times {10}^{-4}\text{Wb}\\ =5\times {10}^{-4}\text{Wb}\left(\frac{\text{1}\text{maxwells}}{{\text{10}}^{-8}\text{Wb}}\right)\\ =5\times {10}^4\text{maxwells}\end{array}$

So value of flux in CGS unit is $5\times {10}^4\text{maxwells}$.

  $\begin{array}{c}\varphi =5\times {10}^{-4}\text{Wb}\\ =5\times {10}^{-4}\text{Wb}\left(\frac{\text{1}\text{lines}}{{\text{10}}^{-8}\text{Wb}}\right)\\ =5\times {10}^4\text{lines}\end{array}$

So value of flux in English unit is $5\times {10}^4\text{lines}$.

Value of flux density in SI unit is $8\times {10}^{-4}\text{T}$.

  $\begin{array}{c}B=8\times {10}^{-4}\text{T}\left(\frac{1\text{gauss}}{{10}^{-4}\text{T}}\right)\\ =8\text{gauss}\end{array}$

So value of flux density in CGS unit is $8\text{gauss}$.

  $\begin{array}{c}B=8\times {10}^{-4}\text{T}\left(\frac{6.452\times {10}^4\frac{\text{lines}}{\text{in}{\text{.}}^{\text{2}}}}{{10}^{-4}\text{T}}\right)\\ =51.616\frac{\text{lines}}{\text{in}{\text{.}}^{\text{2}}}\end{array}$

So value of flux density in English unit is $51.616\frac{\text{lines}}{\text{in}{\text{.}}^{\text{2}}}$.

Conclusion:

Thus, value of flux $\varphi$ in CGS unit is $5\times {10}^4\text{maxwells}$ ,value of flux in SI unit is $5\times {10}^{-4}\text{Wb}$, value of flux in English unit is $5\times {10}^4\text{lines}$, value of flux density in English unit is, $51.616\frac{\text{lines}}{\text{in}{\text{.}}^{\text{2}}}$, value of flux density in CGS unit is $8\text{gauss}$ and value of flux density in SI unit is $8\times {10}^{-4}\text{T}$.