Chapter 18, Problem 42P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
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 120â€‰V.

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

â€‚Â IC=PCÎ”V

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

Substitute 1200â€‰W for PC and 120â€‰V for Î”V.

â€‚Â IC=1200â€‰W120â€‰V=10â€‰A

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

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

â€‚Â IT=PTÎ”V

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

Substitute 1100â€‰W for PT and 120â€‰V for Î”V

(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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