The resistance of the element is [tex]1.33 \Omega[/tex]
Explanation:
The relationship between voltage, current and resistance in an electrical conductor is given by Ohm's law:
[tex]V=RI[/tex]
where
V is the voltage
R is the resistance
I is the current
For the heating element in this problem, we have
I = 9 A is the current
V = 12 V is the voltage
Solving for R, we find the resistance of the element:
[tex]R=\frac{V}{I}=\frac{12}{9}=1.33 \Omega[/tex]
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