Chapter 1.1, Problem 37E

To determine

To solve the equation

  $-108\pi =6\pi j$

Answer to Problem 37E

  $j=-18$ is the solution.

Explanation of Solution

Given: Equation: $-108\pi =6\pi j$

Formula Used:

The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.

Calculation:

Given: Equation: $-108\pi =6\pi j$

To solve the equation, dividing $6\pi$ on both the sides as “division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.”

  $\begin{array}{l}-108\pi =6\pi j\\ \frac{-108\pi }{6\pi }=\frac{6\pi j}{6\pi }\\ -18=j\\ j=-18\end{array}$

Thus, the solution is $j=-18$ .

Now, putting the value of $j=-18$ in the R.H.S. of the equation, we have:

  $6\pi \times -18=-108\pi$

And L.H.S. of the equation is $-108\pi$ .

Hence, L.H.S. $=$ R.H.S.

Thus, the solution is correct.

Conclusion:

Hence, the solution is $j=-18$ .