What amount of electricity passes through the cross-section of the conductor during 1 s

What amount of electricity passes through the cross-section of the conductor during 1 s, if during this period of time if during this period of time the strength of the current increases uniformly from 0 to 6 A.

t = 1 s.

I0 = 0 A.

I = 6 A.

Q -?

According to the definition, the current strength I is determined by the formula: I = Q / t, where Q is the electric charge that passes through the cross-section of the conductor, t is the charge transit time.

Since the current strength varies from I0 to I, then we find its average value Iav = (I – I0) / 2.

Q / t = (I – I0) / 2.

Q = (I – I0) * t / 2.

Q = (6 A – 0 A) * 1 s / 2 = 3 Cl.

Answer: an electric charge Q = 3 C passes through the cross-section of the wire.



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