1.) An electric clothes dryer has a heating element with a resistance of 9.6 ohm

Question

1.) An electric clothes dryer has a heating element with a resistance of 9.6 ohms. What is the current in the element when it is connected to 240 V? How much charge passes through the element in fifty minutes.?

2.) An AC voltage, whose peak is 180 V, is across a 330 ohms resistor. What are the rms and currents in the resistor?

3.) How many kWh of energy does a 550 W toaster use in the morning if it is in operation for a total of 15 minutes? At a cost of 9.0 cents/kWh, estimate how much this would add to your monthly electric energy bill if you made toast four mornings per week.

4.) A rectangular solid made of carbon has sides of lengths 1.0 cm, 2.0 cm, and 4.0 cm lying along the x, y, and z axes, Determine the resistance for current that passes through the solid in a.) the x direction, b.) the y direction, and c.) the z direction. Assume the resistivity is p = 3.0 X 10^-5 ohms/meter

Explanation / Answer

Current = I = E/R = (240 V)/(9.6 ) = 25.0 A   by Ohm's Law

One amp is one coulomb per second. There are 60 * 50 = 3000 seconds in 50 minutes, so the amount of charge is:

(3000 s)(25.0 A) = 75000 C

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