Power in an Electric Heater An electric heater is constructed by applying a potential difference of 120 V across a Nichrome wire that has a total resistance of 7.75 Q. Find the current carried by the wire and the power rating the heater. SOLUTION Conceptualize As discussed in the example The Resistance of a Nichrome Wire, Nichrome wire has high resistivity and is often used for heating elements in toasters, Irons, and electric heaters. Therefore, we expect the power delivered to the wire to be relatively-Select- e Categorize We evaluate the power from P= ?R = (AV) R so we categorize this example as --Select- e problem. Analyze Use this equation to find the current (in A) in the wire: AV Find the power rating (in kW) using the expression P = 1R: P= PR= kW EXERCISE Consider a heater rated at 120 V with power 2.8 kW.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter26: Current And Resistance
Section: Chapter Questions
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Power in an Electric Heater
An electric heater is constructed by applying a potential difference of 120 V across a Nichrome wire that has a total resistance of 7.75 2. Find the current carried by the wire and the power rating of
the heater.
SOLUTION
Conceptualize As discussed in the example The Resistance of a Nichrome Wire, Nichrome wire has high resistivity and is often used for heating elements in toasters, irons, and electric heaters.
Therefore, we expect the power delivered to the wire to be relatively ---Select--- 0
Categorize We evaluate the power from P = 1²R = AD-
(AN²
so we categorize this example as
%3D
---Select---
problem.
Analyze Use this equation to find the current (in A) in the wire:
AV
I =
R.
A
Find the power rating (in kW) using the expression P
1?R:
P = 1?R =
kW
EXERCISE
Consider a heater rated at 120 V with power 2.8 kW.
Hint
(a) What is the resistance of the heater (in 0), and the current (in A) when it is under normal operation?
R =
Ω
I =
A
(b) If we connect it a 240 V source, assuming that it still works, what will be the actual power consumption now (in kW)?
kW
Transcribed Image Text:Power in an Electric Heater An electric heater is constructed by applying a potential difference of 120 V across a Nichrome wire that has a total resistance of 7.75 2. Find the current carried by the wire and the power rating of the heater. SOLUTION Conceptualize As discussed in the example The Resistance of a Nichrome Wire, Nichrome wire has high resistivity and is often used for heating elements in toasters, irons, and electric heaters. Therefore, we expect the power delivered to the wire to be relatively ---Select--- 0 Categorize We evaluate the power from P = 1²R = AD- (AN² so we categorize this example as %3D ---Select--- problem. Analyze Use this equation to find the current (in A) in the wire: AV I = R. A Find the power rating (in kW) using the expression P 1?R: P = 1?R = kW EXERCISE Consider a heater rated at 120 V with power 2.8 kW. Hint (a) What is the resistance of the heater (in 0), and the current (in A) when it is under normal operation? R = Ω I = A (b) If we connect it a 240 V source, assuming that it still works, what will be the actual power consumption now (in kW)? kW
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