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11 November, 04:40

A mysterious device found in a forgotten laboratory accumulates charge at a rate specified by the expression gm = 9 - 10tC from the moment it is switched on. (a) Calculate the total charge contained in the device at t: O. (b) Calculate the totalcharge contained at t: 1 s. (c) Determine the current flowing into the device at t: 1 s, 3 s, and 10 s.

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  1. 11 November, 07:36
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    9C

    -1C

    I (1) = I (3) = I (10) = - 10 Amps

    Explanation:

    Given expression : q (t) = 9 - 10*t

    a) @ t = 0, q (0) ?

    q (0) = 9 - 10 * 0 = 9 C

    Answer : 9C

    b) @ t = 1, q (1) ?

    q (1) = 9 - 10 * 1 = 1 C

    Answer : 1C

    c) t = 1, 3, 10 s what is I (1), I (3), I (10) ?

    I = dq / dt

    I = dq/dt = - 10 Amps

    Hence,

    I (1) = I (3) = I (10) = - 10 Amps

    Answer : I (1) = I (3) = I (10) = - 10 Amps
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