Homework Answers
a.
Junction rule equation for the circuit at right middle point,
I2 + I3 = I1
b.
Apply loop rule equation for upper loop,
V1 - I1*R1 - I2*R2 - V2 = 0
V1 - V2 = I1*R1 + I2*R2
Apply loop rule in lower loop,
-I3*R3 + V2 + I2*R2 = 0
V2 = I3*R3 - I2*R2
c.
here, I2 + I3 = I1 eq(1)
V1 - V2 = I1*R1 + I2*R2 eq(2)
V2 = I3*R3 - I2*R2 eq(3)
from 1 & 2,
V1 - V2 = I2*(R1+R2) + I3*R1
Multiply by R3,
(V1-V2)*R3 = I2*(R1+R2)*R3 + I3*R1*R3
now, multiply eq(3) by R1 and subtract from above equation,
V1*R3 - V2(R3+R1) = I2*(R1R3 + R2*R3 + R1R2)
From eq(2),
V1 - V2 - R2*(V1R3 - V2R3 - V2R1)/(R1R2 + R2R3 + R3R1) = I1*R1
[V1(R1R2 + R2R3 + R3R1) - V2(R1R2 + R2R3 + R3R1) - R2*(V1R3 - V2R3 - V2R1)]/(R1R2 + R2R3 + R3R1) = I1*R1
I1R1 = [V1R1R2 + V1R3R1 - V2R3R1]/(R1R2 + R2R3 + R3R1)
I1 = (V1R2 + V1R3 - V2R3)/(R1R2 + R2R3 + R3R1)
From eq(1),
I3 = I1-I2
Add Answer to:
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a. Write down the ’loop rule’ for the top and bottom loops of
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those are my equations, need help on part C
c. Solve the equations for l s, la, and ls. Once you have your equations, show them to your instructor for approval before continuing to the rest of the lab. Build the circuit and set V1 = 5.00 V and V,-100V-Be careful to make sure your leads in and out of the power supplies are correct! Do not turn on the power supplies yet 2. Using the values for resistance and...
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a. Write down the ’loop rule’ for the top and bottom loops of
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c) If E_1 = E_2 = E_3 = 6 volts and R_1 = R_2 = R_3 = R_4 = 15
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