8.02 Lecture Notes - Lecture 1: Rlc Circuit, Voltage Source, Direct Current
Document Summary
Ac circuits: example ac voltage source current we need to determine i and . Group problem: inverse, addition and multipication of complex numbers. Consider two complex numbers z = x + iy and z = x + iy. For each complex number, determine the modulus and phase. The impedance z is a complex number that generalizes the concept of resistance to any circuit element, as the proportionality constant between voltage and current v(t) = z i(t) The admittance y of a circuit element is a complex number that is de ned to be the inverse of impedance y = 1/z. When circuit elements are connected in series, the equivalent impedance is the sum of the individual impedances of each element. Write equivalent impedance in terms of modulus and phase. Voltage across the branch and the current are related by. Current and voltages are in phase = 0.