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An electric range has a constant current of 10 A entering the positive voltage terminal
Chapter 1, Problem P 1.5-2(choose chapter or problem)
An electric range has a constant current of 10 A entering the positive voltage terminal with a voltage of 110 V. The range is operated for two hours.
(a) Find the charge in coulombs that passes through the range.
(b) Find the power absorbed by the range.
(c) If electric energy costs 12 cents per kilowatt-hour, determine the cost of operating the range for two hours.
Questions & Answers
QUESTION:
An electric range has a constant current of 10 A entering the positive voltage terminal with a voltage of 110 V. The range is operated for two hours.
(a) Find the charge in coulombs that passes through the range.
(b) Find the power absorbed by the range.
(c) If electric energy costs 12 cents per kilowatt-hour, determine the cost of operating the range for two hours.
ANSWER:Step 1 of 3
In the task, we have constant current, voltage and time that the range is operated.
a. We must determine the charge in coulombs
The dependance between i(t) and q(t) is given by equation:
Because we have constant values, we can write:
Now charge passes through the range for two hours is:
b. We must determine power absorbed by the range. Power is absorbed because current and voltage adhere to the passive convention.
c. The dependence between power p, voltage v and current v is given by equation:
Now we can determine power:
