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22. A 15-volt battery is connected to a 3.0-ohm resistor, as shown.How much power is used by the resistor?(a) 8.3 W(b) 15 W(c) 45 W(d) 75 W

22 A 15volt Battery Is Connected To A 30ohm Resistor As ShownHow Much Power Is Used By The Resistora 83 Wb 15 Wc 45 Wd 75 W class=

Sagot :

Given voltage of the battery is,

[tex]V=15\text{ volt}[/tex]

The value of the resistance is,

[tex]R=3\text{ ohm}[/tex]

Thus, the power in terms of voltage and resistance is,

[tex]P=\frac{V^2}{R}[/tex]

Substituting the known values,

[tex]\begin{gathered} P=\frac{15^2}{3} \\ P=75\text{ W} \end{gathered}[/tex]

Thus, the power used by resistor is 75 W.

Hence, the d option is the correct answer.