A coil has an inductance of 53 mH and a resistance of0.35. a.) If a 12 V emf is

Question

A coil has an inductance of 53 mH and a resistance of0.35. a.) If a 12 V emf is aplied acros the coil, how much energy isstored in the magnetic field after the current has built up to itsequilibrium value? b.) After how many time constants wil half this equilibriumenergy be stored in the magnetic field? A coil has an inductance of 53 mH and a resistance of0.35. a.) If a 12 V emf is aplied acros the coil, how much energy isstored in the magnetic field after the current has built up to itsequilibrium value? b.) After how many time constants wil half this equilibriumenergy be stored in the magnetic field?

Explanation / Answer

         Given thatthe inductance is L = 53mH = 53*10-3H          Theresistance is R = 0.35          The emf ofbattery is = 12 V -----------------------------------------------------------       The maximum current is I = / R     Then the energy stored is U =(1/2)LI2                                               = ---------- J    after time Uf = Ue -2tR/L                   U/2 = Ue -2tR /L            e -2tR /L = 1/2           ln e -2tR /L = ln (1/2)                - 2tR/L =- 0.693        Then    t = 0.693*L / 2R                       =---------sec                     e -2tR /L = 1/2           ln e -2tR /L = ln (1/2)                - 2tR/L =- 0.693        Then    t = 0.693*L / 2R                       =---------sec                                                    

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