In an LC circuit where L = 12 mH and C = 30 F with anelectromagnetic oscillation

Question

In an LC circuit where L = 12 mH and C = 30 F with anelectromagnetic oscillation the current amplitude is 2.5mA. a.) find the natural frequency and the period of theoscillation b.) the maximum charge on the capacitor plates and the totalelectromagnetic energy in the circuit In an LC circuit where L = 12 mH and C = 30 F with anelectromagnetic oscillation the current amplitude is 2.5mA. a.) find the natural frequency and the period of theoscillation b.) the maximum charge on the capacitor plates and the totalelectromagnetic energy in the circuit

Explanation / Answer

a ) Natural frequency of period ofoscillation f   = 1 / 2LC                                                                            = 1 / 2 * 12 *10-3 * 30*10-6F                                                                            = 265.3Hz b ) Maximum charge Q = C V                                          = C * I * XL                            XL = 2 f L                                  = 2 * 265.3 Hz * 12 mH                                   = 20                 Q =   30*10-6 F * 2.5*10-3 A * 20                       = 1.5 C

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