LDR VCA análisis
Assumptions:
- All of the opamps are ideal (Ad=∞, Acm=0, Iin=0).
- The two LDRs are the same.
- The two LDRs are exposed to the same amount of light from the LED.
- The LDRs are shielded from ambient light.
Because Iin=0, all of the current from the control input continues through the bottom LDR, to the -15V supply.
Vcontrol / 10k = 15 / RLDR, so
RLDR = (15 * 10k) / Vcontrol
RLDR = 150k / Vcontrol (eq 1)
We assume the two LDRs have the same resistance at all times.
The audio path is composed of two gains, cascaded.
Av1: The voltage gain from the AUDIO INPUT terminal to the left terminal of the upper LDR.
Av2: The voltage gain from the left terminal of the upper LDR to the OUTPUT terminal, assuming the output is unloaded.
Av1 = -1 * 150k / 150k
Av1 = -1
Av2 = -1 * 150k / RLDR (eq 2)
Substituting the expression for RLDR from (eq 1) into (eq 2), we get:
Av2 = -150k / (150k / Vcontrol), or
Av2 = -Vcontrol
Therefore,
Atotal = Av1 * Av2
Atotal = -1 * -Vcontrol
Atotal = Vcontrol