Task 31045.

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The current power going to heat losses in a 200 cm ^ 3 volume conductor grows with time: N = 0.05t ^ 4, W. The concentration of free electrons in the conductor is 2.5 * 10 ^ 23 cm ^ -3, their mobility is 10 ^ -3 m ^ 2 / V * s. Find: the field strength and the speed of the ordered motion of free electrons in the conductor at a time equal to 10 s; dependence of current density on time.

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A detailed solution with a brief record of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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