ii)
Let L = 0.1H and C = 0.01μF. Select the value of R that will set Q at 0.707. Under this
condition, the circuit is said to be a Butterworth (or maximally-flat) lowpass filter.
Determine the value of Q when the value of R is:
* R = 1kΩ
* R = 10kΩ
Recall:
࠵? =
1
࠵?
࠵?
࠵?
0. 707 =
1
࠵?
0.1
0.01×10
−6
∴
࠵? = 4. 47࠵?Ω
__________________________
࠵? = 1࠵?Ω
࠵? =
1
1000
0.1
0.01×10
−6
∴
࠵? = 3. 16
__________________________
࠵? = 10࠵?Ω
࠵? =
1
10000
0.1
0.01×10
−6
∴
࠵? = 0. 316