Example 17.1 Turn on the Light Goal Apply the concept of current. Problem The am
ID: 1902961 • Letter: E
Question
Example 17.1 Turn on the Light GoalApply the concept of current.ProblemThe amount of charge that passes through a filament of a certain lightbulb in1.79s is1.67C.
(a)Find the current in the bulb.
(b)Find the number of electrons that pass through the filament in5.28s. StrategySubstitute into Equation 17.1 for part (a), then multiply the answer by the time given in part (b) to get the total charge that passes in that time. The total charge equals the numberNof electrons going through the circuit times the charge per electron.
Solution (a)Compute the current in the lightbulb. Substitute the charge and time into Equation 17.1. =A
Your response differs from the correct answer by more than 100%. (b)Find the number of electrons passing through the filament in5.28s. The total number of electrons times the charge per electron equals the total charge,I?t. (1)Nq=I?t Substitute and solve forN. N(1.6010-19C/electron) =I(5.28s)
N=electrons
RemarksIn developing the solution, it was important to use units to ensure the correctness of equations such as Equation (1). Notice the enormous number of electrons passing through a given point in a typical circuit.
Explanation / Answer
a) 0.93 A b) 3.08 x 10^19
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