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23 May, 05:36

The frequency of oscillation of a certain LC circuit is 299 kHz. At time t = 0, plate A of the capacitor has maximum positive charge. At what earliest time t > 0 will (a) plate A again have maximum positive charge, (b) the other plate of the capacitor have maximum positive charge, and (c) the inductor have maximum magnetic field?

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  1. 23 May, 08:04
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    Given an LC circuit

    Frequency of oscillation

    f = 299 kHz = 299,000 Hz

    AT t = 0, the plate A has maximum positive charge

    A. At t > 0, the plate again positive charge, the required time is

    t =

    t = 1 / f

    t = 1 / 299,000

    t = 0.00000334448 seconds

    t = 3.34 * 10^-6 seconds

    t = 3.34 μs

    it will be maximum after integral cycle t' = 3.34•n μs

    Where n = 1,2,3,4 ...

    B. After every odd multiples of n, other plate will be maximum positive charge, at time equals

    t" = ½ (2n-1) •t

    t'' = ½ (2n-1) 3.34 μs

    t" = (2n - 1) 1.67 μs

    where n = 1,2,3 ...

    C. After every half of t, inductor have maximum magnetic field at time

    t'' = ½ * t'

    t''' = ½ (2n-1) 1.67μs

    t"' = (2n - 1) 0.836 μs

    where n = 1,2,3 ...
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