Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

The heating element of an electric dryer is rated at 4.1 kW when connected to a 240-V line. (a) What is the current in the heating element? Is 12-gauge wire large enough to supply this current? (b) What is the resistance of the dryer’s heating element at its operating temperature? (c) At 11 cents per kWh, how much does it cost per hour to operate the dryer?

Short Answer

Expert verified

(a) the current in the heating element is I=17.08 and safe for 12-gauge wire.

(b) the resistance of the dryer’s heating element at its operating temperature is R=14ohms

(c) cost per hour to operate the dryer is 45.1cent.

Step by step solution

01

definition of heating element.

Heating element is part of electric heating appliance in which electric energy is transformed into heat.

heating element power =4.1kW

connected line voltage =240V

02

step 2:

(a)

current is given as,

I=pv

Put values of P and V in I,

I=pv=4.1×103W240V=17.08A

Thus, the current in the heating element is I=17.08 and safe for 12-gauge wire.

03

Step 3:

(b)

Power dissipated is given as,

P= v2R (1)

Put all the values in equation (1),

R=v2p=240×2404100=14ohms

Thus, the resistance of the dryer’s heating element at its operating temperature is R=14ohms

04

Step 4:

(c)

dryer costs 11 cent for energy of 1kWh.energy consumed by dryer is,

E=pt.=(4.1kW) (1h) =4.1kWh

Cost of operating dryer is,

Cost= (11 cent) (4.1kWh) =45.1cent

Thus, cost per hour to operate the dryer is 45.1cent

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

You want to produce three 1.00-mm-diameter cylindrical wires,

each with a resistance of 1.00 Ω at room temperature. One wire is gold, one

is copper, and one is aluminum. Refer to Table 25.1 for the resistivity

values. (a) What will be the length of each wire? (b) Gold has a density of1.93×10-4kgm3.

What will be the mass of the gold wire? If you consider the current price of gold, is

this wire very expensive?

A beam of protons traveling at 1.20 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction pependicurlar to its original direction (Fig. E27.24). The beam travels a distance of 1.10 cm while in the field. What is the magnitude of the magnetic field?

A circular area with a radius of6.50cmlies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic fieldlocalid="1655727900569" B=0.230T(a) in the direction of +z direction; (b) at an angle of53.1°from the direction; (c) in the direction?

Questions: When a thunderstorm is approaching, sailors at sea sometimes observe a phenomenon called “St. Elmo’s fire,” a bluish flickering light at the tips of masts. What causes this? Why does it occur at the tips of masts? Why is the effect most pronounced when the masts are wet? (Hint: Seawater is a good conductor of electricity.)

The circuit shown in Fig. E25.33 contains two batteries, each with an emf and an internal resistance, and two resistors. Find (a) the current in the circuit (magnitude and direction) and (b) the terminal voltage Vabof the 16.0-V battery.

Fig. E25.33

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free