Assume that you\'re in a wire, of cross-sectional area A as shown: (assume it\'s

Question

Assume that you're in a wire, of cross-sectional area A as shown: (assume it's very long) Assume charges are moving inside the wire, as indicated by the arrows. Assume the volume charge density of charges in the wire is n C/m^3, and assume the velocity of the charges is v m/s. How much charge passes through the cross-section A on the right in an amount of time Delta t ? If current is defined as the amount of charge per unit time that passes through the cross-section of the wire. What is the current passing in this wire?

Explanation / Answer

a)
volume charge density = n C/m^3
volume = A*d
d = v/delta t

so,
volume = A*v*delta t

charge = volume charge density * volume
= n * A*v*delta t

b)
I = charge/delta t
= (n * A*v*delta t) /(delta t)
= n*A*v

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