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Capacitor Load

Capacitor Load. The capacitive reactance of a capacitor. Generalized Ohm’s law:. Notice I c and V C are amplitudes. ICE. Inductive Load. The Inductive reactance of a inductive. Generalized Ohm’s law:. Notice I L and V L are amplitudes. ELI. I. e. i. v R. V R. w t- f. V L. v C.

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Capacitor Load

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  1. Capacitor Load The capacitive reactance of a capacitor Generalized Ohm’s law: Notice Ic and VC are amplitudes ICE

  2. Inductive Load The Inductive reactance of a inductive Generalized Ohm’s law: Notice IL and VL are amplitudes ELI

  3. I e i vR VR wt-f VL vC VC The series RLC circuit 1. Same current through R, L, C Same frequency as in the source 2. Consider VR, VC, VL

  4. v V The series RLC circuit: Continuous Values at t. This relation has to be maintained as phosors are rotating • General rules: • KVL and KCL still hold, but values at the same t have to be used, i.e. vertical components in phasor diagram. • Vectors operation for Amplitude

  5. The series RLC circuit: Continuous =IZ =IR =I(XL-XC) Z is the impedance of the circuit

  6. =IZ =IR =I(XL-XC) Examples 33-43P. A coil of inductance 88 mH and unknown resistance and a 0.94 mF are connected in series with an alternating emf of frequency 930 Hz. If the phase constant between the applied voltage and current is 75, what is the resistance of the coil. f=930 Hz wd=2pf

  7. =IZ =IR =I(XL-XC) RLC Resonance XL>XC: inductive loading XL=XC: Resonance XC>XL: Capacitive loading

  8. RLC Resonance: Cont

  9. =IZ =IR =I(XL-XC) Conditions at Resonance • I is a maximum • Z is at minimum; Z=R; Z is purely resistive • XL=XC; inductive reactance cancels capacitive reactance; net reactance is zero • The phase angle is zero; the current is perfectly in phase with applied emf; the tangent of the phase angle is zero. • The driven frequency is identical to the natural frequency. • The power factor is unity

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