Explanation Formula used: Refer to the redrawn Figure 1: The expression for resistors of Y-connected network is as follows: R 1 = R A R B R A + R B + R C (1) R 2 = R B R C R A + R B + R C (2) R 3 = R C R A R A + R B + R C (3) Here, R 1 , R 2 and R 3 are the resistors in Y-connected network and R A , R B and R C are the resistors in Δ -connected network. The expression for series combination of resistance is as follows: R = ( R 1 + R 2 ) (4) Here, R is the total resistance and R 1 and R 2 are the resistances in the circuit. The expression for parallel combination of resistance is as follows: 1 R = ( 1 R 1 + 1 R 2 ) (5) Here, R is the total resistance and R 1 and R 2 are the resistances in the circuit. Calculation: The circuit diagram is redrawn as shown in Figure 1. Refer to the redrawn Figure 1: Substitute 10 Ω for R A , 10 Ω for R B , 10 Ω for R C in equation (1). R 1 = ( 10 Ω ) ( 10 Ω ) ( 10 Ω + 10 Ω + 10 Ω ) = 100 ( Ω ) 2 30 Ω = 3.33 Ω Substitute 10 Ω for R A , 10 Ω for R B , 10 Ω for R C in equation(2). R 2 = ( 10 Ω ) ( 10 Ω ) ( 10 Ω + 10 Ω + 10 Ω ) = 100 ( Ω ) 2 30 Ω = 3.33 Ω Substitute 10 Ω for R A , 10 Ω for R B , 10 Ω for R C in equation(3). R 3 = ( 10 Ω ) ( 10 Ω ) ( 10 Ω + 10 Ω + 10 Ω ) = 100 ( Ω ) 2 30 Ω = 3.33 Ω The circuit diagram is redrawn as shown in Figure 2. Refer to the redrawn Figure 2: As resistor R 3 and resistor R 4 are in series therefore from equation (4), R 7 = ( R 3 + R 4 ) = ( 3.33 Ω + 10 Ω ) = 13.33 Ω As resistor R 5 and resistor R 1 are in series therefore from equation (4), R E = ( R 1 + R 5 ) = ( 3.33 Ω + 10 Ω ) = 13.33 Ω As resistor R 6 and resistor R 2 are in series therefore from equation (4), R F = ( R 2 + R 6 ) = ( 3

9th Edition

ISBN: 9781260540666

Author: Hayt

Publisher: MCG CUSTOM

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Z parameter

The Z-parameters that are the impedance parameters of a two-port network are defined by expressing the two-port voltages V1 and V2 in terms of two-port currents I1 and I2. The Z-parameters are calculated by open circuiting one of the two ports at a time …

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Chapter 5.5, Problem 11P

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Find the value of effective resistance.

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Solution Summary: The author explains the expression for resistors of Y-connected network and R_1.

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