   Chapter 18, Problem 42P

Chapter
Section
Textbook Problem

A coffee maker is rated at 1 200 W, a toaster at 1 100 W, and a waffle maker at 1 400 W. The three appliances are connected in parallel to a common 120-V household circuit. (a) What is the current in each appliance when operating independently? (b) What total current is delivered to the appliances when all are operating simultaneously? (c) Is a 15-A circuit breaker sufficient in this situation? Explain.

(a)

To determine

The current passing through coffee maker, toaster and waffle maker.

Explanation

Given Info: The rated power of the coffee maker is 1200 W and toaster is 1100 W, the potential difference across the household circuit is 120V.

Formula to calculate the current drawn by coffee maker operating separately is,

IC=PCΔV

• IC is the current drawn by coffee maker,
• PC is the rated power of the coffee maker,
• ΔV is the potential difference across the household circuit,

Substitute 1200W for PC and 120V for ΔV.

IC=1200W120V=10A

Thus, the current drawn by coffee maker is 10A.

Formula to calculate the current drawn by toaster operating separately is,

IT=PTΔV

• IT is the current drawn by toaster,
• PT is the rated power of the toaster,
• ΔV is the potential difference across the household circuit,

Substitute 1100W for PT and 120V for ΔV

(b)

To determine

The total current delivered to the three appliances.

(c)

To determine

The total required current of 15 A exceeds the limit of the circuit breaker.

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