Question

Please size the transistor width to achieve effective rise and fall resistances equal to a unit

inverter (R) for the 4-input NOR gate, mark the capacitance for each terminal, and calculate the
delays for the following cases assume h identical such NOR gates are driven by the 4-input NOR
gate:

Best-case output falling delay;

Answer 1

Calculate the RC time constants by finding the total capacitance and resistance for series and parallel configurations of capacitors and resistors, and then multiply them using the formula T = RC.

Step-by-step explanation:

Calculating RC Time Constants for Different Configurations

To calculate the four RC time constants for the given combinations of resistors and capacitors, we can use the formulas for capacitors in series and parallel and for resistors in series and parallel.

For capacitors in series, the total capacitance (Ctotal_series) is given by the reciprocal of the sum of the reciprocals of individual capacitances: (1/Ctotal_series) = (1/C1) + (1/C2).

For capacitors in parallel, the total capacitance (Ctotal_parallel) is the sum of the individual capacitances: Ctotal_parallel = C1 + C2.

For resistors in series, the total resistance (Rtotal_series) is the sum of the individual resistances: Rtotal_series = R1 + R2.

For resistors in parallel, the total resistance (Rtotal_parallel) is given by the reciprocal of the sum of the reciprocals of individual resistances: (1/Rtotal_parallel) = (1/R1) + (1/R2).

After calculating the total capacitance and resistance for both series and parallel connections, the RC time constant (T) for each case can be found using T = RC. For example, if a 2.00-µF and a 7.50-µF capacitor are connected in series with a 25.0-k and a 100-k resistor, you would calculate the total capacitance and resistance for that configuration and then multiply them to find the RC time constant.