# With the passage of 20 C of electricity through a conductor with a resistance of 0.5 Ohm, a work of 100 J

With the passage of 20 C of electricity through a conductor with a resistance of 0.5 Ohm, a work of 100 J was performed. Find the time of existence of the current in the provonic.

Data: q (passed charge) = 20 C; R (conductor resistance) = 0.5 ohm; A (work done by current) = 100 J.

To find the lifetime of the current in the conductor used, we apply the Joule-Lenz law: A = I ^ 2 * R * t = (q / t) ^ 2 * R * t = q ^ 2 * R / t, whence t = q ^ 2 * R / A.

Let’s perform the calculation: t = 20 ^ 2 * 0.5 / 100 = 2 s.

Answer: The current existed in the used conductor for 2 seconds.

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