The charge carried by one electron is e = -1.6 × 10-19 C. The number of electrons necessary to produce a charge of -1.0 C is:
Q= the overall charge
N= number of deficit electrons
e= charge of one electron
Q= Ne
-1.0= N (-1.6 x 10^-19)
N= -1.0/ (-1.66 x 10 ^-19)
To find the number of electrons necessary to produce a charge of -1.0 C, we can divide the total charge (-1.0 C) by the charge carried by one electron (-1.6 × 10^-19 C).
Number of electrons = Total charge / Charge per electron
Number of electrons = -1.0 C / (-1.6 × 10^-19 C)
Number of electrons ≈ 6.25 × 10^18 electrons
To find the number of electrons necessary to produce a charge of -1.0 C, we can use the equation:
Charge (Q) = Number of electrons (n) × Charge carried by one electron (e)
Rearranging the equation to solve for the number of electrons (n), we get:
n = Q / e
Now we just need to plug in the given values:
Q = -1.0 C (negative because it represents a negative charge)
e = -1.6 × 10^(-19) C
n = (-1.0 C) / (-1.6 × 10^(-19) C)
To simplify the calculation, we can use scientific notation:
n = -1.0 / -1.6 × 10^(-19 - (-19))
Now, let's simplify the equation:
n = 1.0 / 1.6 × 10^0
Since any number divided by 1 is itself, we get:
n = 1.0 / 1.6
Evaluating the division:
n ≈ 0.625
Therefore, the number of electrons necessary to produce a charge of -1.0 C is approximately 0.625.