SHOW ALL WORK AND EXPLANATION PLEASE! Which one of the phasor diagrams in the pi

Question

SHOW ALL WORK AND EXPLANATION PLEASE!

Which one of the phasor diagrams in the picture best represents a circuit RLC at resonance? Consider an alternating current circuit with a resistor and a capacitor in series. The voltage from the AC source is V = Vmax sin (2 pi ft) with the Vmax held fixed and the frequency adjustable. Which of the following statements is correct? At very high frequencies, the voltage across the inductor is greater than the voltage across the capacitor. At very high frequencies, the voltage across the inductor is less than the voltage across the capacitor. The voltage across the inductor is equal to the voltage across the capacitor. A transformer has an output coil with 3 times as many turns as the input coil. If the input frequency is f then the output frequency will be 9f 3f 1/3 f Is the phase angle between the current and the voltage in a RCL circuit at resonance 0 degree 90 degree 180degree An ac source of period T and maximum voltage V is connected to a single unknown ideal element that is either a resistor, and inductor, or a capacitor. At time t = 0 the voltage is zero. At time f = T/4 the current in the unknown element is equal to zero, and at time t = T/2 the current is I = /max, where /max is the current amplitude. What is the unknown element? an inductor a resistor a capacitor an inductor or a capacitor

Explanation / Answer

1.

at resosnance VL=VC

so option 3 is Correct

2.

Inductive reactacne

XL=2pifL

Capacitive reactane

Xc=1/2pifC

so from above equation at high frequencies XL>>XC

so option A is correct

3.

In Transformer input and output frequency are same ,so

option D is correct

4.

at resonance

XL=Xc

so phase angle

o=tan-1(XL-Xc/R) =tan-1(0)=0 degrees

so option A is correct

5.

Inductor

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