What is the center frequency of a filter with a Q of 15 and bandwidth of 1.0 kHz?
To calculate the center frequency of a filter, you need to know the Q factor and the bandwidth. The center frequency can be determined using the following formula:
Center Frequency = Bandwidth / (2 * Q)
In this case, the Q factor is given as 15 and the bandwidth is given as 1.0 kHz. To find the center frequency, substitute these values into the formula:
Center Frequency = 1.0 kHz / (2 * 15)
Now, let's solve the equation:
Center Frequency = 1.0 kHz / 30
Dividing 1.0 kHz by 30, we get:
Center Frequency ≈ 33.33 Hz
Therefore, the center frequency of the filter with a Q of 15 and bandwidth of 1.0 kHz is approximately 33.33 Hz.