In an osciallating LC circuit in which C = 850 micro-farad,the maximum potential

Question

In an osciallating LC circuit in which C = 850 micro-farad,the maximum potential difference across the capacitorduring the oscillations is 12.8 V and the maximum currentthrough the inductor is 150mA. (A). What is the value of the inductance L. (B) The frequency of the oscillations (C) How much time is required for the charge on the capacitorto rise from zero to its maximum value ? Please help and show all steps if you can !! In an osciallating LC circuit in which C = 850 micro-farad,the maximum potential difference across the capacitorduring the oscillations is 12.8 V and the maximum currentthrough the inductor is 150mA. (A). What is the value of the inductance L. (B) The frequency of the oscillations (C) How much time is required for the charge on the capacitorto rise from zero to its maximum value ? Please help and show all steps if you can !!

Explanation / Answer

given C = 850 *10-6 F vmaxz = 12.8v I = 150*10-3 A we know that U = 1/2 LI2 = 1/2Q2/C (energy stored in magnetic and electricfields) by using above eq L = 1/C (Q/I)2 = 1/ C(CVmax/I)2 =C(Vmax/I)2 plug in values   L = ----------H freq uency f = 1/2LC plug in values f = --------HZ required time is one fourth of a period t = T/4 but T = 1/f      t = 1/4f plug in values t = --------s

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