Question
Assume the electron has a charge of -1.60times 10^-19C A 3.00 A appliance has 360 C of charge flow through it. Part A Operating duration How long was the appliance operating? Value square ? How many electrons passed through the appliance in this time ? Value square ? Units
Answer
4.5
(222 Votes)
Winston
Master · Tutor for 5 years
Answer
Let's break down the problem step-by-step to find the answers to both parts.### Part A: Operating Duration**Problem:** How long was the appliance operating if a 3.00 A appliance has 360 C of charge flow through it?**Step 1:** Understand the relationship between current (I), charge (Q), and time (t). The formula is:
**Step 2:** Rearrange the formula to solve for time (t):
**Step 3:** Substitute the given values into the formula:
**Step 4:** Calculate the time:
**Answer:** The appliance was operating for **120 seconds**.### Part B: Number of Electrons**Problem:** How many electrons passed through the appliance in this time?**Step 1:** Understand the relationship between charge (Q) and the number of electrons (n). The formula is:
where
is the charge of one electron (
).**Step 2:** Rearrange the formula to solve for the number of electrons (n):
**Step 3:** Substitute the given values into the formula:
**Step 4:** Calculate the number of electrons:
**Answer:** The number of electrons that passed through the appliance is **
**.### Summary- **Part A:** The appliance was operating for **120 seconds**.- **Part B:** The number of electrons that passed through the appliance is **
**.