A photodiode has a capacitance of 6 pF. Calculate the maximum load resistance which allows an 8MHz post detection bandwidth.a.3.12 kΩb.3.32 kΩc.3.46 kΩd.3.9 kΩ
Question
A photodiode has a capacitance of 6 pF. Calculate the maximum load resistance which allows an 8MHz post detection bandwidth.
a. 3.12 kΩ
b. 3.32 kΩ
c. 3.46 kΩ
d. 3.9 kΩ
Solution
The bandwidth (f) of a circuit with a resistor (R) and a capacitor (C) is given by the formula:
f = 1 / (2πRC)
We can rearrange this formula to solve for R:
R = 1 / (2πfC)
Given that f = 8 MHz = 8 x 10^6 Hz and C = 6 pF = 6 x 10^-12 F, we can substitute these values into the formula:
R = 1 / (2π * 8 x 10^6 Hz * 6 x 10^-12 F)
Solving this equation gives:
R ≈ 3.32 kΩ
So, the maximum load resistance which allows an 8MHz post detection bandwidth for a photodiode with a capacitance of 6 pF is approximately 3.32 kΩ. Therefore, the correct answer is b. 3.32 kΩ.
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