Exam 9: Branch, Loop, and Node Analyses

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Mesh currents flow in a counter-clockwise direction through each loop.

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Give the two equations, 2I1 = 8 - 5I2 and 0 = 4I2 - 5I1 + 6, in standard form.

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The node voltage method for the Bridged-T circuit:

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The branch method is based on loop currents.

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   -Which statement is true if the loop current I2 is found to be a negative number? -Which statement is true if the loop current I2 is found to be a negative number?

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Loop/Mesh analysis uses simultaneous equations to calculate the current through each component.

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Solve for I1 and I2 in the following equation: 100I1 + 30I2 = 30 75I1 - 45I2 = 20

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In the equation; 5I1 - 8I2 = 10, which is the coefficient for I1?

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   -Given the circuit in Figure , find the approximate current flow through the 500 Ω resistor. -Given the circuit in Figure , find the approximate current flow through the 500 Ω resistor.

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The rule, when solving for several unknown quantities is:

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The branch current method involves using:

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   -See Figure 9-3. If R = 100 Ω, compute the current through the 50 Ω resistor. Use the delta-wye conversion method. -See Figure 9-3. If R = 100 Ω, compute the current through the 50 Ω resistor. Use the delta-wye conversion method.

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The loop current is not necessarily the actual current in a branch.

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   -See Figure 9-5. The equation obtained from performing loop analysis on loop #1 is: -See Figure 9-5. The equation obtained from performing loop analysis on loop #1 is:

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What is a loop current?

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   -See Figure 9-5. Which equation describes node X? -See Figure 9-5. Which equation describes node X?

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A loop is a closed current path in a circuit.

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Simultaneous equations can be solved by which two methods?

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To convert from a wye to an equivalent delta, superimpose the two and take the sum of the products of the wye, then divide by the opposite wye resistor from the delta resistor you are trying to find.

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