How to Calculate the Number of Electrons Passing Through a Device
Question:
What is the method to determine the number of electrons passing through a device based on the current supplied by a battery and time?
Answer:
The number of electrons passing through a device can be calculated by understanding the relationship between current, charge, and time. Let's break it down step by step:
Understanding the Concept:
When a battery supplies a current to a portable device, the amount of charge passing through the device can be calculated using the formula: Q = I * t. Where Q is the charge, I is the current, and t is the time.
Given Data:
Current (I): 0.149 A
Time: 12 hours
Calculating Total Charge:
First, we need to convert the time from hours to seconds. 12 hours = 12 hours * 60 minutes/hour * 60 seconds/minute = 43,200 seconds.
Now, using the formula Q = I * t, we find the total charge: Q = 0.149 A * 43,200 s = 6436.8 C.
Determining Number of Electrons:
Since one electron has a charge of 1.6 x 10^(-19) C, we can calculate the total number of electrons passing through the device: 6436.8 C / (1.6 x 10^(-19) C) = 4.02 x 10^22 electrons. Therefore, approximately 4.02 x 10^22 electrons pass through the device in twelve hours.