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if the current in a wire of a radio is 6.00 mA, how long would it take for 3.00 C of charge to pass a point in this wire

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The current intensity is defined as the amount of charge that passes through a certain point in a certain time interval:

I= (Q)/(\Delta t)
where
I is the current
Q the charge

\Delta t is the time interval.

For the wire in our problem, the current is
I=6 mA=0.006 A while the charge is
Q=3.00 C, so we can find the time interval by re-arranging the previous formula and using these data:

\Delta t = (Q)/(I) = (3.00 C)/(0.006 A)=500 s
so, the charge takes 500 s to pass through a certain point of the wire.
User Duroth
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