Chapter 4.5, Problem 11CYU

To determine

To solve and check: the given equation

Answer to Problem 11CYU

The required solution is $j=1.2$

Explanation of Solution

Given: $-1.3j+0.4=-1.16$

Calculation:

To solve equation and check the solution

  $-1.3j+0.4=-1.16$

Add both sides of equation with $-0.4$

  $\begin{array}{l}-1.3j+0.4-0.4=-1.16-0.4\\ -1.3j=-1.56\end{array}$

Divide both sides of equation by $-1.3$

  $\begin{array}{l}j=\frac{-1.56}{-1.3}\\ j=1.2\end{array}$

Solution:- $j=1.2$

Check

Substitute $j=1.2$ in $-1.3j+0.4=-1.16$

  $\begin{array}{l}-1.3(1.2)+0.4=-1.16\\ -1.56+0.4=-1.16\\ -1.16=-1.16\end{array}$

Hence verified .So solution is $j=1.2$ .

Conclusion:

The required solution is $j=1.2$