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In an oscillating `L-C` circuit in which `C = 4.00muF`, the maximum potential difference capacitor during the oscillations is `1.50 V` and the maximum current through `50.0 mA`. (a) What is the inductance `L`? (b) What is the frequency of the oscillations? (c) How much time does the charge on the capacitor take to rise from zero to its maximum value? |
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Answer» Correct Answer - A a. `1/2Li_0^2=1/2CV_0^2` `:. L=(CV_0^2)/i_0^2=((4xx10^-6)(0.5))/((50xx10^-3)^2)` `=3.6 xx 10^-3H` b. `f=1/(2pisqrtLC)=1/(2pisqrt((3.6xx10^-3)(4xx10^-6)))` `=0.133xx10^4Hz` `=1.33kHz` c.`t=T/4=1/(4f)=1/(4xx1.33xx10^3)s` `=0.188xx10^-3s` `=0.188ms` |
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