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
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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