contestada

the wattage rating W (in watts) of an appliance varies directly with the square of the current I (in amperes) and directly with the resistance R (in ohms). If the wattage is 6 watts when the current is 0.2 ampere and the resistance is 150 ohms, find the wattage when the current is 0.3 ampere and the resistance is 300 ohms.

Respuesta :

tataplayer10

[tex]P = I\cdot V \text{, where P is power in Watts, I is current and V is in Volts.}[/tex], but

[tex]V = R\cdot I \text{, where V is in Volts, R is resistance and I is current.}[/tex]

Doing the math:

[tex]P = I\cdot V[/tex]

[tex]P = I\cdot R\cdot I[/tex]

[tex]P = R\cdot I^2[/tex]

[tex]P = 300^2\cdot 0.3[/tex]

[tex]P = 27000[/tex]

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