Solution:
we have been given an equation expressing a relationship in terms of one variable.
The equation is
[tex] P = I*I*R [/tex]
or
[tex] P=I^2R [/tex]
we have been asked to asked to rewrite the equation in terms of a different variable, I.
Divide both the sides by R we get
[tex] I^2=\frac{P}{R}\\
\\
\text{Now take square root on both the sides we get}\\
\\
I=\pm \sqrt{\frac{P}{R}} \\
\\
[/tex]
Answer:
[tex]I=\pm\sqrt{\frac{P}{R}}[/tex]
Step-by-step explanation:
Given : The following equation expresses a relationship in terms of one variable [tex]P=I\times I\times R[/tex] or [tex]P=I^2R[/tex]
To find : Rewrite the equation in terms of a different variable I ?
Solution :
Equation [tex]P=I^2R[/tex]
In terms of I,
Divide both side by R,
[tex]\frac{P}{R}=\frac{I^2R}{R}[/tex]
[tex]\frac{P}{R}=I^2[/tex]
Taking root both side,
[tex]\pm\sqrt{\frac{P}{R}}=I[/tex]
Therefore, [tex]I=\pm\sqrt{\frac{P}{R}}[/tex]
