سؤال في LRC circuit is connected across

[مسلمة]

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اليكم السؤال
if aseries LRC circuit is connected across the terminals of an electric generator that produces avoltage
E(t=Ecoswt
the flow of electrical charge q throug the circuit is given by the following second order diff. eqn
Ld2q/dt2 +Rdq/dt +1/Cq =Ecoswt

verify the correspondingshown in the table between the parameter

of a driven mechanical oscillator and the above driven electrical oscillator

Table 1: Analogies Between the LRC Circuit and
the Damped Driven Oscillator.
LRC Circuit Oscillator
Inductor L Mass m
Resistor R Shock Absorber ¸
Capacitor C¡1 Spring k
Applied Voltage V0 Applied Force F0
Charge Q Position x
Current _Q = I Velocity x_ = v

calculate the Q of the electrical circuit in terms of L .R and C


show that the case of weak damping Q can be written as Q=R0/R
R0تساوي الجذر التربيعي لL/C

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