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Problem 41 Medium Difficulty

A heating element in a stove is designed to dissipate $3.00 \times 10^{3} \mathrm{W}$ when connected to $240 . \mathrm{V}$ . (a) Assuming the resistance is constant, calculate the current in the heating element if it is connected to $120 . \mathrm{V}$ . (b) Calculate the power it dissipates at that voltage.

Answer

a. I=6.25 A
b. P=750 W

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Video Transcript

in the first part of this question, we're going to kill Clay, the current in the heating element I In order to complete this current first, we need to find the well before the resistance. So we use the formula. P equals two we square and what it by our solar disk waiting for are we can right articles to with squared divided by P No setting the values into this question. We will get article store 240 World will square divided by 3.0 multiplied by tennis for three words. So this is It goes through articles to 19 point to make no for current weaken right, I equals true We primed you wanted by our no sitting the wells into this equation we will get I equals to 120 world rewarded by 19 point omega So this is it goes to six point to five from bad. In part B of this question we have to kill led the participation of this world age be prime in order to kill Claire This people I'm let me ride the formula people I am equals two re prime multiply I know setting the Wellies into this equation. P Prime equals two 1 20 world into a 6.25 bad. This one's yours, people. I'm equals two. So 150 words. So end of the question.

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Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Marshall S.

University of Washington

Zachary M.

Hope College

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp