   Chapter 18, Problem 41P

Chapter
Section
Textbook Problem

A heating element in a stove is designed to dissipate 3.00 × 103 W when connected to 240. V. (a) Assuming the resistance is constant, calculate the current in the heating element if it is connected to 120. V. (b) Calculate the power it dissipates at that voltage.

(a)

To determine
The current in the heating element, when connected to 120 V.

Explanation

Given Info: The potential difference across the heating element in a stove is 240V and the power dissipate in the heating element of a stove is 3.00×103W .

Explanation:

Formula to calculate the resistance of the element is,

P=(ΔV)2R

• P is the power dissipation,
• ΔV is the potential difference,
• R is the resistance of the element,

Rewrite the above relation in terms of R.

R=(ΔV)2P

Substitute 240V for ΔV and 3.00×103W for P .

R=(240V)2(3

(b)

To determine
The power dissipates at the voltage.

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