Hello all. We've been given this circuit and asked to derive the transfer function using Mesh analysis as well as Nodal Analysis. I'm just curious if there's any considerations/alterations I should make before I start to hammer out my mesh/nodal equations.
Here's the circuit that we've been given. As you can see, we should be able to obtain 1 mesh current by inspection, namely \(\beta i_{bl}\). After doing so I'm still left with 3 mesh currents to solve for. (Not the nicest scenario, but doable)
Is there a way I can further simplify this? I was thinking of doing a parallel combination of the impedances of the capicator and the resistor to eliminate that 1 mesh, but I'm curious to see how we would simplify this anymore than that.
Sort of the same scenarion with nodal, we have one node voltage by inspection. (Namely, the node connected to the positive terminal of the voltage source) Is there a way we can make our lives easier when applying nodal analysis to this circuit to obtain the transfer function.
Remember our main goal from all this is to obtain the Transfer Function by using these two methods.
I'd love to hear what you guys think.
Thanks again!
Here's the circuit that we've been given. As you can see, we should be able to obtain 1 mesh current by inspection, namely \(\beta i_{bl}\). After doing so I'm still left with 3 mesh currents to solve for. (Not the nicest scenario, but doable)
Is there a way I can further simplify this? I was thinking of doing a parallel combination of the impedances of the capicator and the resistor to eliminate that 1 mesh, but I'm curious to see how we would simplify this anymore than that.
Sort of the same scenarion with nodal, we have one node voltage by inspection. (Namely, the node connected to the positive terminal of the voltage source) Is there a way we can make our lives easier when applying nodal analysis to this circuit to obtain the transfer function.
Remember our main goal from all this is to obtain the Transfer Function by using these two methods.
I'd love to hear what you guys think.
Thanks again!
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