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Electric course .. its about voltage node method and mesh current Write out the equation for KCL in terms of the currents at node C Write out the equation for KCL in terms of the currents at node A...

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Electric course .. its about voltage node method and mesh current
Write out the equation for KCL in terms of the currents at node C
Write out the equation for KCL in terms of the currents at node A
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EE XXXXXXXXXX Homework 4 Node Voltage method ai 3 R1 C XXXXXXXXXXi A Created with an evaluation copy of Aspose.Words. To discover the full versions of our APIs please visit: https://products.aspose.com/words/ i1 R3 vs DC R2 i2  R4 i4 Created with an evaluation copy of Aspose.Words. To discover the full versions of our APIs please visit: https://products.aspose.com/words/ B Write out the equation for KCL in terms of the currents at node C Write out the equation for KCL in terms of the currents at node A Define the Voltages across the resistors in terms of the source and node voltages V1=V2=V3=V4=Rewrite the KCL equation using the appropriate substitutions of Ohm’s Law for node C Rewrite the KCL equation using the appropriate substitutions of Ohm’s Law for node A Rewrite the equations so that the vs terms is on the right hand side of the equal sign and all other terms are on the left hand side Convert the equations to an augmented matrix. (You should have a two by three matrix with one column for the va, one for vc and the augmented row for vs) If vs=10volts, a=2, R1=R2=R3=1 ohm, and R4=2 ohms find the values for the node voltages Created with an evaluation copy of Aspose.Words. To discover the full versions of our APIs please visit: https://products.aspose.com/words/ Mesh Current In the diagram below all mesh currents are picked to run in a clockwise direction. We are going to assume that all resistors cause a voltage drop 10 4V DC id 10 5A 5 2 2A ia ib ic Write out the KVL for mesh a. (Hint you must include the voltage in the current source call it vs1) Write out the KVL for mesh b. Write out the KVL for mesh c. (Hint you must include the voltage in the current source call it vs2) Write out the KVL for mesh d. (pay attention to the direction of the mesh current in relation to the positive and negative terminal of the voltage source.) By inspection what do you know about ia and ic? You should...

Answered Same Day Dec 22, 2021

Solution

Robert answered on Dec 22 2021
116 Votes
EE 2010-02
Homework 4

Node Voltage method

αi

R1
C i A 3
i1 R3

vs

DC
R2 i2 R4 i4
B


Q.) Write out the equation for KCL in terms of the cu
ents at node C
Ans.)
i1 = i2 + a + i3
Q.) Write out the equation for KCL in terms of the cu
ents at node A
Ans.)
a + i3 = i4

Q.) Define the Voltages across the resistors in terms of the source and node
voltages V1= Vs - Vc
V2= Vc
V3= Vc - Va
V4= Va
Q.) Rewrite the KCL equation using the appropriate substitutions of Ohm’s Law for node C
Ans.) Let Vc be the voltage at C node and Va at A node

(Vs – Vc)/R1 = a + (Vc/R2) + ((Vc – Va)/R3)



Q.) Rewrite the KCL equation using the appropriate substitutions of Ohm’s Law for node A
Ans.)
a + ((Vc – Va)/R3) = (Va/R4)
Q.) Rewrite the equations so that the vs terms is on the right hand side of the equal sign...
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