Energy use of home appliances. An 1800 W toaster, a 1400 W electric frying pan, and a 75 W lamp

step 1 Here we are given that an electric toaster, electric fry pan and electric lamp are connected to

Energy use of home appliances. An 1800 W toaster, a 1400 W...

Energy use of home appliances. An 1800 $\mathrm{W}$ toaster, a 1400 $\mathrm{W}$ electric frying pan, and a 75 $\mathrm{W}$ lamp are plugged into the same electrical outlet in a $20 \mathrm{A}, 120 \mathrm{V}$ circuit. (Note: When plugged into the same outlet, the three devices are in parallel with each other across the 120 $\mathrm{V}$ outlet.) (a) What current is drawn by each device? (b) Will this combination blow the circuit breaker?

Key Concepts

Circuit Protection and Breaker Rating

This concept deals with understanding the safety limits of an electrical circuit, specifically the maximum current it can safely carry, as indicated by the circuit breaker's rating. It is important to verify that the sum of currents drawn by all devices does not exceed this rating to avoid overloading and potential hazards.

Power Calculation

This concept involves calculating the electrical power in devices using the formula P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts. It is essential for determining how much current each device draws when connected to a voltage source.

Ohm's Law

Ohm's Law relates the voltage, current, and resistance in an electrical circuit. In the context of power calculations, it is often rearranged to I = P/V, which allows for the calculation of current based on the known power consumption and voltage of a device.

Parallel Circuit Analysis

In a parallel circuit, each device is connected directly to the same voltage source, meaning each device experiences the full supply voltage. The total current drawn from the circuit is the sum of the currents drawn by each individual device, making it crucial to calculate each device's contribution accurately.

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