SHOW WORK. Consider the following circuit with these values: R 1 = 2.0 k?, R 2 =

Question

SHOW WORK. Consider the following circuit with these values: R1= 2.0 k?, R2= 3.0 k?, R3= 1.2 k?, I3= 10.0 mA, E = 9.0 V.

a) Which of the following expression is the correct junction (node) rule for this circuit?
-I1+I2=I3   I1+I2=-I3   I1+I2=I3  
I1-I2=I3    I1+I2+I3=0   none of these

b) Which of the following expression is the only correct mesh or loop rulefor this circuit?

E-R1I1-R2I2+V=0   -R3I3+R2I2+V=0
E-R1I1-R3I3=0   E-R1I1-R3I2+R2I2=0
-R1I1-R3I3+R2I2=0   E-R1I1-R3I3+R2I2+V=0

c) Which of the following expression is the only incorrect mesh or loop rule for this circuit?
E-R1I1-R3I3=0   E-R1I1+R2I2+V=0
-R3I3-R2I2-V=0   -E+R1I1-R2I2-V=0
all are correct

d)  What is the value in mA of I2?

Explanation / Answer

a) I1+I2=I3 . Notice that both I1 and I2 enter the node whereas I3 leaves the node.

b) E-R1I1-R3I3=0 Since is the only option that is consistent with both pasive and active convention and aso with ohm

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