The time taken for the charge to pass through the cross-section of the wire is 6.0s.
Given the data in the question;
Current; [tex]I = 5.0A[/tex]
Charge; [tex]Q = 30C[/tex]
Time; [tex]t = \ ?[/tex]
Current is simply the rate of flow of charged particles i.e electrons caused by EMF or voltage.
If a charge passes through the cross-section of a conductor in a given time, the current I is expressed as;
[tex]I = \frac{Q}{t}[/tex]
Where Q is the charge and t is time elapsed.
We substitute our given values into the expression above to determine the time it took the charge to pass through this wire.
[tex]I = \frac{Q}{t}\\ \\5.0A = \frac{30C}{t} \\\\t = \frac{30C}{5.0A} \\\\t = 6.0s[/tex]
Therefore, the time taken for the charge to pass through the cross-section of the wire is 6.0s.
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The time taken by 30 coulombs of charge to pass through this wire is 6 seconds.
The pace at which electrons flow past a point in an electrical circuit is referred to as current.
Current is the ratio of charge and time. Given that the current is equal to 5.0 Amp, while the charge is equal to 30C. Therefore, the time will be equal to,
[tex]I=\dfrac{Q}{t}\\\\5 =\dfrac{30}{t}\\\\t = 6\rm\ sec[/tex]
Hence, the time taken by 30 coulombs of charge to pass through this wire is 6 seconds.
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