a)How can do we relate the voltage and current in an RLC circuit? b) Again, what

Question

a)How can do we relate the voltage and current in an RLC circuit?

b) Again, what does it mean when an RLC circuit is “at resonance”? What special behavior occurs?

c). Explain how are DC circuits and AC circuits different from each other?

d). For each of the following, summarize how the voltage and current are related to each other in an AC circuit: a resistor, a capacitor, an inductor. Give physical reasonings for these relationships.

e). Why are trigonometric functions useful when dealing with AC circuits?

Explanation / Answer

a) As usual by means of Ohm's law V=Iz where z is the circuit impendance

b)An rlc circuit resonates when the capactivive reactance is equal to the inductive one. This means that the circuit impedance is purely resistive. Energy provided by the generator oscillates between capacitor and inductance.

c)Biggest difference is that impendence does depend upon generator frequency, wrt to Dc case. Moreover a RLC DC cirucit has 3 different behaviours depending teh circuit time constant: null damping, critical damping, weak damping

d)In a resistor V=RI, IN

In a capacitor current is 90° in advance wrt to voltage since there is a time derivative of a sine function: ie a cosine function that is 90° shifted

In a inductance relation is similar but givem the fact that it obeys Lenz law, the law - sign mens a 90° delay.

e) they are useful to describe phases of physical quantities.

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