Final answers: 9a: You have a series RLO circuit which is primarily inductive (w

Question

Final answers:

9a: You have a series RLO circuit which is primarily inductive (which means that XL Xc and XL R). What happens to the rms current in the circuit, the phase constant, the rms power from the battery and the rms power dissipated by the resistor if XL is slightly increased (so L is slightly increased)? Explain b: What happens if Xc is slightly increased (so C is slightly decreased)? Assume that the circuit is still inductive. Explain. c: What happens if R is slightly increased (the circuit is still inductive)? Explain.

Explanation / Answer

Impedance of the ckt,

z = sqrt(R^2 + (XL - XC)^2 )

rms current through the ckt, Irms = Vrms/z

phase constant, phi = tan^-1( (XL - XC)/R )

rms power from the battery, Prms = Vrms^2/z

rms power dissipated by the resistor, Prms = Irms^2*R

a) when XL slightly increased, z increases

so, Irms decreses

phi increases

Prms of both battery and resistor decreses.

b) when XC is slightly increased, z decreases.

so, Irms increases.

phi decreases.

Prms of both battery and resistor increses.

c) when R is slightly increased, z increases.

so, Irms decreases

phi decreses.

rms power delivred by the battery decreases.

rms power dissipted by the battery increases.

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