A 120 V potential difference is applied to a space heater whose resistance is 17 Q when hot. (a) At what rate is electrical energy transferred to thermal energy? (b) What is the cost for 4.4 h at US$0.05/kW-h?

A 120 V potential difference is applied to a space heater whose resistance is 17 Q when hot. (a) At what rate is electrical energy transferred to thermal energy? (b) What is the cost for 4.4 h at US$0.05/kW-h?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 57PQ

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Concept explainers

Ohm's law

Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.

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Question

A 120 V potential difference is applied to a space heater whose resistance is 17 Q when hot. (a) At what rate is electrical energy
transferred to thermal energy? (b) What is the cost for 4.4 h at US$0.05/kW-h?
(a) Number
8.5e+2
Units
(b) Number
i
Units
cents

Expert Solution

Step 1

Given that:-

$E = 120 V R = 17 Ω P = ?$

Since,

$P = \frac{E^{2}}{R} P = \frac{120^{2}}{17} P = 847.06 W$

(a)Hence, electrical energy is transferred to thermal energy at a rate of 847.06 Watts.

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