In the Circuit Shown Below, Let (A) Write a Node Equation at Node 1 by Summing

question 4

Essay

In the circuit shown below, let $R _ { 1 } = 1 \mathrm { k } \Omega , R _ { 2 } = 6 \mathrm { k } \Omega , R _ { i } = 4 \mathrm { k } \Omega , R _ { 0 } = 500 \Omega , A = 2000 , v _ { s } = 1 V , v _ { p } = 0$
(a) Write a node equation at node 1 by summing currents leaving node 1 .
(b) Write a node equation at node 2 by summing currents leaving node 2
(c) Solve the two node equations to find numerical values of $\mathrm { V } _ { \mathrm { n } }$ and $\mathrm { v } _ { \mathrm { o } }$ .
(d) Find the value of $i _ { s }$ through $R _ { 1 }$ . Find the input impedance $R _ { i n } = v _ { s } / i _ { s }$ .

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Definitions:

Genes

Units of heredity made up of DNA, acting as instructions to make molecules called proteins.

Prokaryotic Operon

A prokaryotic operon is a functioning unit of genomic DNA containing a cluster of genes under the control of a single promoter and is regulated together, typically found in bacteria.

RNA Polymerase

An enzyme responsible for copying a DNA sequence into an RNA sequence, during the process of transcription.

Promoter Sequence

A promoter sequence is a region of DNA that initiates transcription of a particular gene, controlling gene expression.