I am not sure if I am doing this question right:
A coil and 2 capacitors are connected in parallel. If the inductance of the coil is 100 uH and the fixed capacitance C1 is 80 pF, what should be C2 to tune in a broadcast frequency of 1000 kHz?
Here is what I was thinking:
C1 and C2 are in parallel, so their combined capacitance is C1 + C2.
A resonant circuit has maximum current when 2πfL = 1/(2πfC), or
C = 1/((2πf)^2L)
Since C = C1 + C2
C2 = 1/(2πf)^2L) - C1
Is this right?
A coil and 2 capacitors are connected in parallel. If the inductance of the coil is 100 uH and the fixed capacitance C1 is 80 pF, what should be C2 to tune in a broadcast frequency of 1000 kHz?
Here is what I was thinking:
C1 and C2 are in parallel, so their combined capacitance is C1 + C2.
A resonant circuit has maximum current when 2πfL = 1/(2πfC), or
C = 1/((2πf)^2L)
Since C = C1 + C2
C2 = 1/(2πf)^2L) - C1
Is this right?