Question

An 1800-W toaster, a 1400-W electric frying pan, and a 75-W lamp are plugged into the same outlet in a 15-A, 120-V circuit. (The three devices are in parallel when plugged into the same socket.). (a) What current is drawn by each device? (b) Will this combination blow the 15-A fuse?

Answer 1

Answer:

a) Current drawn by toaster = 1800/120 = 15 A

Current drawn by electric fan = 1400/120 = 11.67 A

Current drawn by lamp = 75/120 = 0.625 A

b) Yes

Explanation:

Given:

Power of toaster = 1800 W

Power of electric frying pan = 1400 W

power of lamp = 75 W

applied voltage = 120 V

a) Now,

Power = Current × Voltage

thus,

Current = Power / voltage

since, all the devices are parallel. thus, the potential difference across each device will be same

therefore,

Current drawn by toaster = 1800/120 = 15 A

Current drawn by electric fan = 1400/120 = 11.67 A

Current drawn by lamp = 75/120 = 0.625 A

b)  Total current drawn by the combination, I = 15 A + 11.67 A + 0.625 A = 27.295 A

since. I > 15 A fuse

hence, the combination will blow the fuse.