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ECE CHAPTER 3

# ECE CHAPTER 3 - Energy-Storage Elements Inductors and...

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Energy-Storage Elements - Inductors and capacitors: can store energy and later return it to the circuit - Passive elements - Capacitance: the circuit property that accounts for energy stored in electric fields - Inductance: accounts for energy stored in magnetic fields Capacitance - Constructed by separating two sheets of conductor by a thin layer of insulating material - A Dielectric: the insulating material between the plates - The stored charge is equal to the capacitance multiplied by the voltage between the plates ( q = Cv ) - Units: farads (F) or coulombs per volt (C/V) - The charge q is the net charge on the plate corresponding to the positive reference for v - i = dq / dt = d / dt ( Cv ) = C ( dv / dt ) - A capacitor appears to be an open circuit for a steady dc voltage - The current reference direction points into the positive reference polarity - q(t) = (int t o => t) i(t)dt +q(t o ) - v(t) = 1/C (int t o => t) i(t)dt + v(t o ) Stored Energy - w(t) = ½Cv 2 (t) = ½v(t)q(t) = q 2 (t)/2C Capacitance in Parallel - C eq = C 1 + C 2 + C 3 Capacitance in Series - 1/C eq = 1/C 1 +1/C 2 +1/C 3 - A technique for obtaining high voltages from low-voltage sources is to charge

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ECE CHAPTER 3 - Energy-Storage Elements Inductors and...

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