How many electrons must be removed from an electrically neutral silver dollar to give it a charge of +2.0 ìC?
Well, first things first, I'll have to ask the silver dollar, "Are you feeling charged today?" And if it responds with a resounding "Yes," then we can proceed with the calculation.
Now, let's break out our electron-removal equipment and get to work. To calculate the number of electrons that need to be removed, we can use the formula:
Charge = (Number of electrons) * (1.6 x 10^-19 C)
In this case, we want a charge of +2.0 ìC. So, we'll plug in the numbers:
2.0 ìC = (Number of electrons) * (1.6 x 10^-19 C)
Now, to solve this equation, we'll need to do a little math magic. Dividing both sides by (1.6 x 10^-19 C), we get:
(Number of electrons) = (2.0 ìC) / (1.6 x 10^-19 C)
Calculating that out, we find that a whopping 1.25 x 10^19 electrons need to be removed from our electrically neutral silver dollar. That's quite a charge, isn't it? Better hold on to your funny bone, because we're shocking this silver dollar with some serious electron removal action!
To calculate the number of electrons that must be removed from an electrically neutral silver dollar to give it a charge of +2.0 ìC, we can use the formula:
q = ne
Where:
q = charge
n = number of electrons
e = elementary charge
The elementary charge (e) is equal to 1.6 x 10^-19 C.
Given:
Charge (q) = +2.0 ìC
Let's substitute the values into the formula and solve for n:
+2.0 ìC = n * (1.6 x 10^-19 C)
Divide both sides by (1.6 x 10^-19 C):
+2.0 ìC / (1.6 x 10^-19 C) = n
Calculating the division:
n = 1.25 x 10^19
Therefore, approximately 1.25 x 10^19 electrons must be removed from an electrically neutral silver dollar to give it a charge of +2.0 ìC.
To determine how many electrons must be removed from an electrically neutral silver dollar to give it a charge of +2.0 ìC, we need to understand the concept of electric charge and the relationship between charge and the number of electrons.
1. Start with the fundamental unit of charge: The elementary charge (e) is the charge carried by a single electron or proton, which is approximately 1.602 x 10^-19 coulombs (C).
2. Calculate the charge of a single electron: Since a silver dollar is neutral, it has an equal number of protons and electrons. The total charge of a silver dollar is zero. Therefore, the charge of a single electron in a silver dollar is -2.0 ìC divided by the total number of electrons.
-2.0 ìC / total number of electrons = charge of a single electron
3. Determine the number of electrons: To find the number of electrons required to create a charge of +2.0 ìC, divide the positive charge by the charge of a single electron.
+2.0 ìC / (charge of a single electron) = number of electrons
Let's calculate:
First, convert +2.0 ìC to coulombs:
+2.0 ìC = 2.0 x 10^-6 C
Second, calculate the charge of a single electron:
charge of a single electron = (-2.0 x 10^-6 C) / (total number of electrons)
Lastly, determine the number of electrons:
number of electrons = (2.0 x 10^-6 C) / (charge of a single electron)
Note: The value of the total number of electrons will depend on the charge of a single electron, which is determined in step two.