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Instructions Use the applet on this link: http://www.phy.ntnu.edu.tw/java/rlc/rl

ID: 2241336 • Letter: I

Question

Instructions

Use the applet on this link: http://www.phy.ntnu.edu.tw/java/rlc/rlc.html

Click "Start" to pull up applet. Use at least three separate values of capacitance and inductance for the problems.

Show work!!!

Problems

1. Determine the phase angle between VC (Voltage of capacitor) and VL (Inductor)

2. Determine the phase angle between VR (Resistor) and VL or VC.

3. Establish a relation between VL and the oscillator frequency f = 1/T (where T is the period). How is VL increased?

4. Determine the relationship between VC and oscillator frequency. How is VC increased?

5. Determine whether VR is proportional to I (current).

How can the current be increased?

What is the relationship between VL and VC when I is a maximum?

6. Determine whether the following is true: V = VR + VL + VC

In the above picture, VL(blue) > V(red)


Why ???


FULL POINTS WILL BE AWARDED!

Explanation / Answer

1) 180

2) 90

3) VL = V jwL / (R + jwL + 1/jwC)

where w = 2*pi*f


4) VC = V / (jwC*(R + jwL + 1/jwC))


5) VR = V *R / (R + jwL + 1/jwC) = IR so it is poportional to current

current can be increased by making w = 1/sqrt(LC)

VL = -VC when I is max


6) Yes V = VR + VL + VC is true

VL(blue) > V(red) because VC is providing negative voltage so VL will be more to make total voltage equal to V(red)


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