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

The question involves calculating the RC time constant for a circuit, considering different configurations of resistors and capacitors connected in series or parallel using the formula T = RC.

Step-by-step explanation:

The student is asking about calculating the RC time constant for different combinations of resistors and capacitors. When capacitors are connected in series or parallel, their effective capacitance changes, and similarly, resistors in series or parallel have a combined resistance.

For capacitors in series, the reciprocal of the total capacitance is the sum of the reciprocals of the individual capacitances; for capacitors in parallel, it's the sum of the capacitances. For resistors, it's the other way around: the total resistance is the sum of resistances in series and the reciprocal of the sum of reciprocals in parallel.

We use the formula T = RC to find each time constant, considering the different combinations of capacitors (2.00 µF and 7.50 µF) and resistors (25.0 kΩ and 100 kΩ). For example, if we have resistors in series (125 kΩ) and capacitors in parallel (9.50 µF), the time constant would be T = 125 kΩ × 9.50 µF, which would need to be calculated to find the time in seconds.