Lightbulb A is marked “25 W 120 V,” and lightbulb B is marked “100 W 120 V.” These labels mean that each lightbulb has its respective power delivered to it when it is connected to a constant 120-V source. (a) Find the resistance of each lightbulb. (b) During what time interval does 1.00 C pass into lightbulb A? (c) Is this charge different upon its exit versus its entry into the lightbulb? Explain. (d) In what time interval does 1.00 J pass into lightbulb A? (e) By what mechanisms does this energy enter and exit the lightbulb? Explain. (f) Find the cost of running lightbulb A continuously for 30.0 days, assuming the electric company sells its product at $0.110 per kWh.
(a)
Answer to Problem 27.60AP
Explanation of Solution
Given information: Power of light bulb A is
Explanation:
Formula to calculate the resistance of lightbulb A.
Here,
Substitute
Thus, the resistance of lightbulb A is
Formula to calculate the resistance of lightbulb B.
Here,
Substitute
Thus, the resistance of lightbulb B is
Conclusion:
Therefore, the resistance of lightbulb A is
(b)
Answer to Problem 27.60AP
Explanation of Solution
Given information: Power of light bulb A is
Explanation:
Formula to calculate the current flowing in th light bulb A.
Here,
Substitute
Thus, the current flowing in th light bulb A is
Formula to calculate the time interval through which
Here,
Substitute
Thus, the time interval through which
Conclusion:
Therefore, the time interval through which
(c)
Answer to Problem 27.60AP
Explanation of Solution
Given information: Power of light bulb A is
Explanation:
No, the existing charge is the same amount as the entering charge into the light bulb because the current is charged over the time and is the same everywhere on the series circuit.
Thus, this charge is not different upon its exit versus its entry into the light bulb because the current is charged over the time and is the same everywhere on the series circuit.
Conclusion:
Therefore, this charge is not different upon its exit versus its entry into the light bulb because the current is charged over the time and is the same everywhere on the series circuit.
(d)
Answer to Problem 27.60AP
Explanation of Solution
Given information: Power of light bulb A is
Explanation:
Formula to calculate the time interval through which
Here,
Substitute
Thus, the time interval through which
Conclusion:
Therefore, the time interval through which
(e)
Answer to Problem 27.60AP
Explanation of Solution
Given information: Power of light bulb A is
Explanation:
In this mechanism, the bulb is connected to the electrical energy source by wires, usually by a wire like copper, which mainly carries the current of electrons into and out the bulb.
Thus, the mechanism through which this energy enter and exit the light bulb is that the bulb is connected to the electrical energy source by wires, usually by a wire like copper, which mainly carries the current of electrons into and out the bulb.
Conclusion:
Therefore, the mechanism through which this energy enter and exit the light bulb is that the bulb is connected to the electrical energy source by wires, usually by a wire like copper, which mainly carries the current of electrons into and out the bulb.
(f)
Answer to Problem 27.60AP
Explanation of Solution
Given information: Power of light bulb A is
Explanation:
Write the expression for the energy for light bulb A works continuously for
Here,
Substitute
Thus, the energy for light bulb A works continuously for
Formula to calculate the cost of running light bulb A continuously for
Here,
Substitute
Thus, the cost of running light bulb A continuously for
Conclusion:
Therefore, the cost of running light bulb A continuously for
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Chapter 27 Solutions
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