A series circuit contains a 5.0/p-H inductor, a 5.0/p - µF capacitor, and a 30.0

Question

A series circuit contains a 5.0/p-H inductor, a 5.0/p - µF capacitor, and a 30.0-O resistor connected to a 120-V (rms) source of variable frequency. Find
1. the resonance frequency f0
a.)10,000 Hz
b.)10 Hz
c.)1,000 Hz
d.)100 Hz

2. the impedance [O] at f = 60 Hz
a.)1,000 < Z < 10,000
b.)10,000 < Z < 100,000
C.)0 < Z < 100
D.)100 < Z < 1,000

3. the phase angle f at f = 60 Hz
a.)0 < f < p/4
b.)-p/2 < f < - p/4
c.)p/4 < f < p/2
d.)-p/4 < f < 0

4. the average power [W] delivered to the circuit at f = 60 Hz
a.)1 < P < 10
b.)100 < P < 1,000
c.)10 < P < 100
d.)0 < P < 1

5. the instantaneous voltage across R when V(source) is maximum (f = 60 Hz)
a.)1.0 < V < 10
b.)0.01 < V < 0.1
c.)10 < V < 100
d.)0.1 < V < 1.0

Explanation / Answer

rl=rc

l=1/c

w=200 radians

f=31.82hz

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