Chapter 16, Problem 1RQ

To determine

Choose the correct option to check whether the given statement “The voltage through a resistor with current $i\left(t\right)$ in the s-domain is $sRI\left(s\right)$” is True or False.

Answer to Problem 1RQ

The correct option from the given choices is (b) False.

Explanation of Solution

Given data:

The voltage through resistor with current $i\left(t\right)$ in $s$ domain is $sRI\left(s\right)$.

Formula used:

Write an expression to calculate the voltage across the resistor.

$v\left(t\right)=i\left(t\right)R$ (1)

Calculation:

Apply Laplace transform for equation (1) to find $V\left(s\right)$.

$V\left(s\right)=I\left(s\right)R$

$V\left(s\right)=RI\left(s\right)$ . (2)

Refer equation (2), the voltage through a resistor with current $i\left(t\right)$ in $s$ domain is $RI\left(s\right)$.

Therefore, the option (b) is correct and the option (a) is incorrect.

Conclusion:

Thus, the correct option from the given choices is (b) False.