Chapter 4.4, Problem 7CYU

To determine

To calculate:To solve the equation and check the solution

Answer to Problem 7CYU

Solution is $j=-8.5$

Explanation of Solution

Given information:Equation is $-3.4=0.4j$

Calculation:

Given equation is as follows:

  $-3.4=0.4j$

On solving the equation,

  $\begin{array}{l}0.4j=-3.4\\ j=\frac{-3.4}{0.4}\\ j=-8.5\end{array}$

Now, in order to check the solution, substitute $j=-8.5$ in equation $-3.4=0.4j$

Right hand side of equation is solved as follows:

  $\begin{array}{l}\Rightarrow 0.4\left(-8.5\right)\\ \Rightarrow -3.4\end{array}$

Since, Left hand side of equation is equal to right hand side

Thus, $j=-8.5$ is solution of equation $-3.4=0.4j$

Conclusion:

Hence,solution is $j=-8.5$