**Understanding How Electric Heaters Work**An electric heater operates by passing a current of 100 A through a coiled metal wire, causing it to become red hot. The resistance of the wire is 1.1 ohms. To determine the voltage that must be applied to the wire, we will use Ohm's Law.**Ohm's Law:**\[ V = I \times R \]Where:- \( V \) is the voltage (volts)- \( I \) is the current (amperes)- \( R \) is the resistance (ohms)For the electric heater:- Current (\( I \)) = 100 A- Resistance (\( R \)) = 1.1 ohms**Calculate the Voltage:**\[ V = 100 \, \text{A} \times 1.1 \, \text{ohms} \]\[ V = 110 \, \text{volts} \]Therefore, a voltage of 110 volts must be applied to the wire.

Given i = 100 A , R = 1.1 ohms By ohm's law V = iR

Answered: An electric heater works by passing a…

An electric heater works by passing a current of 100 A though a coiled metal wire, making it red hot. If the resistance of the wire is 1.1 ohms, what voltage must be applied to it?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Three resistors, 5.5 Q, 8.4 N, and 3.5 Q, are wired in series with a power source of 9.7 volts.…

A: Given: Resistance 1,R1=5.5ΩResistance 2,R2=8.4ΩResistance 3,R3=3.5ΩPotential Difference,V=9.7V…

Q: A light bulb is connected to a 120.0-V wall socket. The current (in Amperes) in the bulb depends on…

Q: Houses in Europe run on 220 V instead of 120 V like here in the US. A circuit in a European house…

Q: 19. In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome…

A: The objective of this question is to find the current through the wire when it is first turned on.…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 7.3-V battery has a resistance of…

A: Given data, initial temperature T1 = 20oC Final temperature T2 = 75oC Resistance at 20oC is R1 =…

Q: On a sunny day, a rooftop solar panel delivers 80 W of power to the house at an emf of 17 V. How…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 5.0-V battery has a resistance of…

A: The variation of resistance with temperature is given by,

Q: I have some 11-gauge copper wire (diameter = 2.304 mm) that I want to run from my house to my shed.…

A: First you calculate the resistance as given thatvoltage , V=120 Vcurrent , I=0.5 Athusby ohms…

Q: While taking photographs in Death Valley on a day when the temperature is 52.0°C, Bill Hiker finds…

A: Given data: Temperature of Death Valley, T1=52.0OC Current at temperature T1, I1=1.00 A Other…

Q: A lamp is connected to a 120 V line. When the switch is first turned on and the filament is cold,…

A: Given data The voltage to which lamp is connected is given as V = 120 V. The Current flowing…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 5.00 A. Assuming the…

A: Given data: Voltage (V) = 120 V Current (I) = 5.00 A Mass (m) = 0.300 kg Initial temperature (Ti) =…

Q: A 793 W television, a 172 W microwave, and a 65.2 W computer are plugged into an outlet in a 20 A…

Q: The current in a single-loop circuit with one resistance R is 6.6 A. When an additional resistance…

A: Recall V=iR Ohm's law for single loop circuit.

Q: When a voltage is applied to a conductor, the current that flows is limited by resistance. Which of…

A: When a voltage is applied to a conductor, then due to potential difference created across the ends a…

Q: A given copper wire has a resistance of 5.02 Ω at 20.0°C while a tungsten wire of the same diameter…

Q: A power trans line is hung wers with glass ving 2. What current (in mA) flows through the insulator…

A: Given: The resistance of the metal tower is 2.8×109 Ω. The potential difference is 160 kV.

Q: If the 0.140 mm diameter tungsten filament in a light bulb is to have a resistance of 0.290 Ω at…

Q: A high-voltage electricity transmission line is hung from metal towers with glass insulators having…

A: Given Resistance of wire = 0.85 × 109 Ω Applied voltage = 180 kV We have to calculate the current

Q: If the 0.100-mm diameter tungsten filament in a light bulb is to have a resistance of 0.200 Ω at…

A: Given - Diameter of tungsten filament ,d = 0.100 mm =0.100 x 10-3 m Resistance of tungsten…

Q: While taking photographs in Death Valley on a day when the temperature is 61.0°C, Bill Hiker finds…

A: The resistance of the copper wire at the when Bill is at Antarctica is as follows:…

Q: In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome that…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 3.5-V battery has a resistance of…

Q: 0.058 A of electric current is passing through a resistor, and the voltage across the resistor is…

Q: The copper windings of a motor have a resistance of 46 Ω at 20oC when the motor is idle. After the…

A: Initial resistance of copper windings (r) = 46 ohm initial temperature of the copper windings (t) =…

Q: Suppose you have a rod of pure silicon with a diameter of 2.79cm and a length of 20.6cm. These rods…

Q: A heating element in a toaster dissipates 900 W when run at 120 V. How much charge passes through…

Q: A high voltage transmission line of diameter 2.55 cm and length 3.42167 km carries a steady current…

Q: Four 2.2 V cells are connected in series to a 8.0 N light bulb. If the resulting current is 0.75 A,…

Q: A man foolishly tries to fish a burning piece of bread from a toaster with a metal butter knife and…

A: Given Data: The voltage is, V=120 V The threshold of sensation current is, I=1 mA The expression…

Question

100%

**Understanding How Electric Heaters Work**

An electric heater operates by passing a current of 100 A through a coiled metal wire, causing it to become red hot. The resistance of the wire is 1.1 ohms. To determine the voltage that must be applied to the wire, we will use Ohm's Law.

**Ohm's Law:**
\[ V = I \times R \]

Where:
- \( V \) is the voltage (volts)
- \( I \) is the current (amperes)
- \( R \) is the resistance (ohms)

For the electric heater:
- Current (\( I \)) = 100 A
- Resistance (\( R \)) = 1.1 ohms

**Calculate the Voltage:**
\[ V = 100 \, \text{A} \times 1.1 \, \text{ohms} \]
\[ V = 110 \, \text{volts} \]

Therefore, a voltage of 110 volts must be applied to the wire.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

please answer this question
A 12 volt car battery is being used to power a circuit with a total resistance of 0.5 Mega-ohm. a) What is the power (in watts) being used by this circuit? b) The circuit is switched on for exactly 27.3 days and then switched off. How much energy has the circuit used (in joules AND kilowatt-hours) in this time? c) If the current rate of hydro use is 10.1 cents per kilowatt-hour, how much would the use of this circuit contribute to your hydro bill (assuming that no other charges apply)?
At 20°C, the carbon resistor in an electric circuit connected to a 5.5-V battery has a resistance of 2.9 ✕ 102 Ω. What is the current in the circuit when the temperature of the carbon rises to 85°C?
If the 0.130 mm diameter tungsten filament in a light bulb is to have a resistance of 0.230 Ω at 20.0°C, how long should it be?
#20
A 580 mm long tungsten wire, with a 0.048 mm diameter circular cross section, is wrapped around in the shape of a coil and used as a filament in an incandescent light bulb. When the light bulb is connected to a battery, a current of 0.536 A is measured through the filament. Tungsten has a resistivity of 4.9 x 10-8 Ohms x m. How many electrons pass through this filament in 5 seconds? What is the resistance of this filament? What is the voltage of the battery that would produce this current in the filament?