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What is the resistance of a 1200 W electric frying pan that draws a current of 11a?

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One of the handy formulas for the power dissipated by
a circuit element is

Power = (current)² x (resistance) .

That certainly seems to be the one to use for this problem,
since we're given the power and the current, and we're asked
to find the resistance.

Power = (current)² x (resistance) .

Divide each side by (current)² :

Resistance = (power) / (current)²

Resistance = (1200W) / (11 A)²

Resistance = 1200 / 121 = 9.917... ohms (rounded)


User Torjescu Sergiu
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