If the resonant frequency is 1MHz and $Q$=50, f1= ________ and f2= ________
A) 0.98 MHz, 1.01 MHz
B) 0.98 MHz, 1.02 MHz
C) 0.99 MHz, 1.02MHz
D) 0.99 MHz, 1.01 MHz

Question

If the resonant frequency is  1MHz and $Q$=50, f1= ________ and  f2= ________
A)  0.98 MHz, 1.01 MHz
B)  0.98 MHz, 1.02 MHz
C)  0.99 MHz, 1.02MHz
D)  0.99 MHz, 1.01 MHz

Quizplus · Accepted Answer

The formula for calculating the bandwidth is:

Bandwidth = resonant frequency / Q

Substituting the values given, we get:

Bandwidth = 1MHz / 50
Bandwidth = 20 kHz

To find f1 and f2, we need to add and subtract the bandwidth from the resonant frequency:

f1 = resonant frequency - bandwidth
f1 = 1MHz - 20kHz
f1 = 0.99 MHz

f2 = resonant frequency + bandwidth
f2 = 1MHz + 20kHz
f2 = 1.01 MHz

Therefore, the correct choice is D, which gives the values of f1 and f2 as 0.99 MHz and 1.01 MHz, respectively.

If the Resonant Frequency Is 1MHz And QQQ =50, F1= ________ and F2= ________ A) 0

If the Resonant Frequency Is 1MHz And $Q$ =50, F1= and F2=
A) 0