Answer:
26.67 Volt
Explanation:
number of electrons, n = 5 x 10^21
R = 20 ohm
t = 10 min = 10 x 60 = 600 sec
V = ?
q = n x charge of one electron
q = n x e
q = 5 x 10^21 x 1.6 x 10^-19 = 800 C
i = q / t = 800 / 600 = 4 / 3 A
According to Ohm's law
V = i x R
V = 4 x 20 / 3 = 26.67 Volt
The voltage or potential difference across the resistor is 26.67 Volt.
Given the data in the question;
Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.
Hence
[tex]V = IR[/tex]
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
First we determine the total charge.
[tex]Q = n * e[/tex]
Where Q is the charge, n is the number of electrons and e is the charge on one electron. ( [tex]e = 1.6 * 10^{-19}C[/tex] )
Hence
[tex]Q = (5*10^{21}) * (1.6 * 10^{-19C)}\\\\Q = 800C[/tex]
Since current is the electric charge transferred per unit time.
[tex]I = \frac{Q}{t}[/tex]
Hence
[tex]I = \frac{800C}{600s}\\ \\I = 1.33A[/tex]
Now, we input our values into the above expression
[tex]V = I * R\\\\V = 1.33A * 20Ohms\\\\V = 26.67Volt[/tex]
Therefore, the voltage or potential difference across the resistor is 26.67 Volt.
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