Calculate Fan-Out Resistance of N Gates in Parallel

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In summary, the combined resistor value of N gates in parallel is (1/N) Rgate, and the load resistor of 10k refers to the input resistance of each gate. As more gates are connected, the load resistor decreases and the logic-1 level is calculated using Ohm's law. The maximum number of gates that can be connected is 10 or so.
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gs408
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Hi, pretty basic question, I'm looking through some notes and it says:

The combined resistor value of N gates in parallel is: Rtotal = (1/N) Rgate
The load resistor decrease as we connect more input gates, let us calculate the logic-1 level with a load resister of 10k Ohms. Using Ohm's law:

Vout = 3.5v * (10,000 / N) / [ 1000 + (10,000 / N) ] > 1.7v
( where Vsource = 3.5, Rsource = 1000 and the threshold for indeterminate values is 1.7v )

we get: 1700N < 18,000, so the maximum number we can connect is ten or so.

What does the 10k load resistor refer to? Is it the resistance of one gate? Or the combined resistance of multiple gates? Just wanted to clarify.

Thanks.
 
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gs408 said:
Hi, pretty basic question, I'm looking through some notes and it says:



What does the 10k load resistor refer to? Is it the resistance of one gate? Or the combined resistance of multiple gates? Just wanted to clarify.

Thanks.

Yeah, I think they are just saying each gate's input "resistance" is 10kOhms, so as you parallel up N of them, you end up with 10kOhm/N.
 

FAQ: Calculate Fan-Out Resistance of N Gates in Parallel

What is the purpose of calculating fan-out resistance of N gates in parallel?

The purpose of calculating fan-out resistance is to determine the overall resistance of a circuit when multiple gates are connected in parallel. This is important for ensuring the stability and functionality of the circuit.

How do you calculate fan-out resistance of N gates in parallel?

To calculate fan-out resistance, you can use the formula Rf = R1 + R2 + R3 ... + Rn, where Rf is the overall resistance and R1-Rn are the individual resistances of each gate. You can also use a parallel resistance calculator to simplify the process.

What factors affect the fan-out resistance of N gates in parallel?

The main factors that affect fan-out resistance are the individual resistance values of each gate, the number of gates in parallel, and the quality of the connections between the gates.

Why is fan-out resistance important for circuit design?

Fan-out resistance is important for circuit design because it helps ensure that the circuit has stable and reliable functionality. If the fan-out resistance is too high, it can cause voltage drops and affect the performance of the circuit.

What are some precautions to take when calculating fan-out resistance of N gates in parallel?

Some precautions to take when calculating fan-out resistance include using accurate resistance values for each gate, making sure the connections are secure, and double checking the calculations to ensure accuracy.

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