An object has a charge of −2.4 ìC. How many electrons must be removed so that the charge becomes +2.8 ìC
To find the number of electrons that must be removed to change the charge from -2.4 μC to +2.8 μC, we can use the fact that 1 electron has a charge of approximately -1.6 x 10^-19 C.
First, let's convert the given charges from microcoulombs to coulombs:
-2.4 μC = -2.4 x 10^-6 C
+2.8 μC = +2.8 x 10^-6 C
Now, we can calculate the excess charge by subtracting the final charge from the initial charge:
Excess charge = Final charge - Initial charge
Excess charge = (+2.8 x 10^-6 C) - (-2.4 x 10^-6 C)
Excess charge = 5.2 x 10^-6 C
To find the number of electrons, we can divide the excess charge by the charge of a single electron:
Number of electrons = Excess charge / Charge of one electron
Number of electrons = (5.2 x 10^-6 C) / (-1.6 x 10^-19 C)
Number of electrons ≈ -3.25 x 10^13 electrons (approximately)
Note: The negative sign indicates that electrons need to be removed to change the charge from -2.4 μC to +2.8 μC.
To find out how many electrons must be removed in order to change the charge of an object from -2.4 μC to +2.8 μC, we need to consider the charge of a single electron.
We know that the charge of an electron is approximately -1.6 x 10⁻¹⁹ Coulombs (C). This means that each electron carries a negative charge of -1.6 x 10⁻¹⁹ C.
Now, let's calculate the number of electrons that need to be removed:
1. Calculate the total charge difference: +2.8 μC - (-2.4 μC)
Change the charges to Coulombs by multiplying by 10⁻⁶: 2.8 μC = 2.8 x 10⁻⁶ C, -2.4 μC = -2.4 x 10⁻⁶ C
Total charge difference = 2.8 x 10⁻⁶ C - (-2.4 x 10⁻⁶ C)
2. Calculate the number of electrons using the charge of a single electron:
Number of electrons = (Total charge difference)/(Charge of a single electron)
Number of electrons = (2.8 x 10⁻⁶ C - (-2.4 x 10⁻⁶ C))/(-1.6 x 10⁻¹⁹ C)
Now you can perform the calculation to find the number of electrons that need to be removed.
N=(q1+q2)/e = (2.4+2.8)•10⁻⁶/1.6•10⁻¹⁹ =
=3.25•10¹³