Question: How do I solve for the rise time tr by hand for this circuit. Using ltspice I know the fall time is 22us which I

How do I solve for the rise time tr by hand for this circuit.

Using ltspice I know the fall time is 22us which I can verify by hand as 2.2T where T=RC=10us

The rise time found with ltspice is around .73us but I am lost when it comes to solving for tr by hand.

Below is the circuit and plots for the rise of the output (node D)

How do I solve for the rise time tr by hand for

this circuit. Using ltspice I know the fall time is 22us which

Green= Input Pulse V2

Blue= Node G

Red= Output Node D

PMOS Transistor

Vt=-3.76, kp=7.853, lambda=0.038

I can verify by hand as 2.2T where T=RC=10us The rise time

Below is a similar problem that I was able to hand calculate both tr and tf

The difference is that the capacitor is placed in the gate node as seen below and the load capacitor is removed.

Where Cg=1uF

found with ltspice is around .73us but I am lost when it

My work:

comes to solving for tr by hand. Below is the circuit and

I tried using similar methods to find the tr and tf for when a load capacitor is placed but I could not get a right answer.

V1 R1 IRF9540 100 M1 V2 C1 R2 100 PULSE(0 5 1ms 1n 1n 1ms) 100n V1 R1 IRF9540 100 M1 V2 C1 R2 100 PULSE(0 5 1ms 1n 1n 1ms) 100n

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