1.) Consider an RC series circuit. You measure R to be 937 ? and C to be 820 nF.

Question

1.) Consider an RC series circuit. You measure R to be 937 ? and C to be 820 nF. You set the signal generator output to produce a sinusouidal output with an amplitude of 2.31 V.

i) At what frequency will XC equal R?

ii) What will the voltage across the capacitor be at this frequency?

Now we produce a driving signal that is the sum of a 47.5 Hz sinusoid with an amplitude of 1.50 V and a 752 Hz sinusoid with an amplitude of 1.87 V.

iii) Answer the following: What will the ratio of the amplitude of the voltage across the resistor due to the 47.5 Hz component of the signal to that of the 752 Hz component?

2.) Consider an RL series circuit. R is still 937 ? and you measure L to be 825 mH. You again set the signal generator output to produce a sinusouidal output with an amplitude of 2.31 V.

i) At what frequency will XL equal R?

ii) What will the voltage across the inductor be at this frequency?

We use the compound signal described above.

iii) Answer the following: What will the ratio of the amplitude of the voltage across the resistor due to the 47.5 Hz component of the signal to that of the 752 Hz component?

Explanation / Answer

i)

Xc = R

1/wC = R

w = 1/RC

f = 1/2piRC

f = 1 / (2*3.1415*937*820*10^-9)

f = 207.1 Hz

ii)

V = 2.31/2 = 1.155 Volt

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