when a certain amount of current flows through a resistor, it uses 3.00 w of power. if the current doubles…

when a certain amount of current flows through a resistor, it uses 3.00 w of power. if the current doubles, how much power will the resistor use? (hint: r stays the same. how does p depend on i and r?) (unit = w)

when a certain amount of current flows through a resistor, it uses 3.00 w of power. if the current doubles, how much power will the resistor use? (hint: r stays the same. how does p depend on i and r?) (unit = w)

Answer

Explanation:

Step1: Recall power - current - resistance formula

The power formula is $P = I^{2}R$. Let the initial current be $I_1$ and the initial power be $P_1=I_1^{2}R = 3.00\ W$.

Step2: Find new power when current doubles

The new current $I_2 = 2I_1$. The new power $P_2=I_2^{2}R=(2I_1)^{2}R = 4I_1^{2}R$. Since $I_1^{2}R = 3.00\ W$, then $P_2 = 4\times3.00\ W$.

Answer:

$12.00\ W$