In the circuit below the currents are named la ls, and le The current direction is determined by the source (out of positive terminal) in the middle and right branches and is clockwise in the left branch. • A flows in the left branch of the circuit • le flows in the middle branch of the circuit • leflows in the right branch of the circuit When applying KVL: • transverse the loop in a Clockwise direction • voltage drops are negative. • label the voltage across the resistors with the same numeric subscript as the resistor R2 R3 R4 R1 Ve Vb R1= 1.2k? Ry= 1.8k? R3= 1.5k? R4= 0.5k2 Vy= 10V V= 6V a. Redraw the circuit showing current directions and polarities of the voltage across the resistors. b. Write the KVL equations and apply ohms law for the loop R1-R2-R4-Vb (left Loop) loop R3-Vc-Vb-R4 (right Loop) Equation 1 Equation 2 c. Write the equation for KVL at node "N" Equation 3 d. Put the equations in the form below and solve . if a variable does not appear in an equation, let that N=0 N14·Ia+ N18' Ig + Nạc•Ic = k1 N24 · La + N28 · Ig + N2c•Ic = k2 N34 · Ia + N35· Ig + N3c · Ic = k3 e. Write the KVL equation for the top loop and solve for Vas

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In the circuit below the currents are named la la, and le The current direction is
determined by the source (out of positive terminal) in the middle and right branches and
is clockwise in the left branch.
• la flows in the left branch of the circuit
• le flows in the middle branch of the circuit
• lcflows in the right branch of the circuit
B
R2
R3
When applying KVL:
• transverse the loop in a Clockwise direction
• voltage drops are negative.
• label the voltage across the resistors
R4
R1
Ve
Vb
with the same numeric subscript as the resistor
R1:= 1.2k2 Ry= 1.8kN
R3= 1.5kN R4= 0.5kN
V= 10V
Ve= 6V
a. Redraw the circuit showing current directions and polarities of the voltage across
the resistors.
b. Write the KVL equations and apply ohms law for the
loop R1-R2-R4-Vb (left Loop)
loop R3-Vc-Vb-R4 (right Loop)
Equation 1
Equation 2
c. Write the equation for KVL at node “N" Equation 3
d. Put the equations in the form below and solve . if a variable does not appear in an
equation, let that N=0
N1A Ia+ N18· Ig + Nac Ic = k1
N24 · Ia + N28· Ig + N2c·Ic = k2
N34 la + N33· Ig + N3c · Ic = k3
e. Write the KVL equation for the top loop and solve for VAB
Transcribed Image Text:In the circuit below the currents are named la la, and le The current direction is determined by the source (out of positive terminal) in the middle and right branches and is clockwise in the left branch. • la flows in the left branch of the circuit • le flows in the middle branch of the circuit • lcflows in the right branch of the circuit B R2 R3 When applying KVL: • transverse the loop in a Clockwise direction • voltage drops are negative. • label the voltage across the resistors R4 R1 Ve Vb with the same numeric subscript as the resistor R1:= 1.2k2 Ry= 1.8kN R3= 1.5kN R4= 0.5kN V= 10V Ve= 6V a. Redraw the circuit showing current directions and polarities of the voltage across the resistors. b. Write the KVL equations and apply ohms law for the loop R1-R2-R4-Vb (left Loop) loop R3-Vc-Vb-R4 (right Loop) Equation 1 Equation 2 c. Write the equation for KVL at node “N" Equation 3 d. Put the equations in the form below and solve . if a variable does not appear in an equation, let that N=0 N1A Ia+ N18· Ig + Nac Ic = k1 N24 · Ia + N28· Ig + N2c·Ic = k2 N34 la + N33· Ig + N3c · Ic = k3 e. Write the KVL equation for the top loop and solve for VAB
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