Electric Circuits (11th Edition)

Chapter 4

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; Kirchhoff's current law is applied at node 1... more

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; Apply Kirchhoff's current law at node . ; Apply... more

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; Use the node voltage equation for . ;   ; Apply... more

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; Kirchhoff's current law s applied to find the ... more

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; Kirchhoff's voltage law is applied for loop 1... more

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; Kirchhoff's voltage law is applied for loop 1... more

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; The expression for the current in loop 3 is .... more

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; The supermesh constraint equation is.Apply ... more

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; Apply Kirchhoff's current law at node . ; ... more

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; Kirchhoff's voltage law is applied at loop 1... more

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; To find the Thevenin's resistance short circuit... more

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; Calculate the Norton resistance . ; Determine ... more

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; In the given circuit, connected in series with... more

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;  Use the Ohm's law to determine :Apply the ... more

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The Thevenin equivalent circuit is obtained as ... more

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The value of is . ; Calculate the nodal voltage... more

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. ; Calculate the voltage at the top-middle node.... more

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; Apply Kirchhoff's Current Law at node . ; Apply... more

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; Apply the Kirchhoff's Current Law at node of ... more

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; Determine KCl equations at given nodes. ; ... more

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The total power delivered by the dependent voltage... more

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; Let the node at junction of voltage source and... more

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; Apply Kirchhoff's Current Law at node .... more

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; Let node 1 be at the junction of , , and .Let ... more

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; Let the junction of source and resistors be ... more

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; Let the junction of and be node 1, voltage at... more

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Thus it is proved that . ; Given Divide by ; more

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  ; Let the current flowing in the first mesh from... more

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  ; Determine three mesh current equations:Apply ... more

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a).     b).     ; Determine the mesh equations:... more

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; Apply Kirchhoff's Current Law to obtain the ... more

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. The delivered power is coming out to be negative... more

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; Determine the mesh equations.Let be the ... more

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. ; Determine the mesh equations.Let be the ... more

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; Determine the mesh equations.Loop 1 is ... more

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; Convert the current sources into the voltage ... more

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; Determine the mesh equations.Let be the ... more

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; Let the clockwise current through left bottom ... more

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  ; Let the current through bottom left mesh be .... more

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; Apply the Kirchhoff's Voltage Law for loop 1 ... more

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; Apply Kirchhoff's Voltage law in left loop.  ; ... more

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The Norton equivalent circuit is obtained as ... more

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; To find the Norton resistance, set the voltage ... more

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.. ; Voltage source is short and current source is... more

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; From the circuit, it can be observed that the ... more

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.. ; Let is chosen as . Apply source ... more

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.. ; Let is chosen as . Apply source ... more

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.. ; Let be the current through the circuit when... more

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; Thevenin equivalent corresponding to the point ... more

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; The thevenin voltage at terminal a, b is the ... more

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; Short the terminal a,b and obtain the short ... more

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; Since the circuit does not have any independent... more

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; Since the circuit does not have any independent... more

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; For finding the norton's current , short the ... more

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; Calculate the equivalent resistance, except . ... more

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possible values are and . ; Convert the voltage ... more

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; due to the voltage source of  are calculated ... more

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; Voltage source is considered and and sources... more

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; Current is calculated with only acting as a ... more

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; Initially, the  voltage source is short ... more

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; The voltage source is deactivated and the ... more

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; Kirchhoff's voltage equations are determined by... more

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; Kirchhoff's voltage equations are determined by... more

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; Obtain the nodal equation applied at Node 1 ... more

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Predicted value will be in range with and . ; ... more

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Predicted value will be in range with and . ; ... more

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The predicted value will be in the range with and... more

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The predicted value will be in the range with and... more

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