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voltage Eo passes through the wire BD, in which there is an ammeter with resistance R.. B D Eo FIGURE 3.4.3 Wheatstone bridge (Problem 43). (a) Use Kirchoff's Current Law that rthe algebraic sum of the currents at each junction must be zero to show that the unknown currents /, I1. Iz, I3, and I, satisfy the lincar system I + l2 = I, I, + l3 = I, + l = /1, 2+!, = I3. (b) Kirchoff's Voltage Law states that the algebraic sum of all voltage drops around a closed circuit is zero." (Voltage equals resistance times current.) Use this law to show that R,I, – R313 – Rgk = 0. Rili + Rglg – R2l2 = 0, Ril, + R,I, = Eo. (c) Show that the bridge is balanced (that is, I = 0) when R, R3 = R2R.. 43. The Wheatstone Bridge The Wheatstone bridge is a device used to measure an unknown resistance R, by com- paring it with known resistances R,, R2, and Ry.$ The circuit diagram is shown in Fig. 3.4.3. The known resis- tances are adjusted so that no current from the cell with

voltage Eo passes through the wire BD, in which there is an ammeter with resistance R.. B D Eo FIGURE 3.4.3 Wheatstone bridge (Problem 43). (a) Use Kirchoff's Current Law that rthe algebraic sum of the currents at each junction must be zero to show that the unknown currents /, I1. Iz, I3, and I, satisfy the lincar system I + l2 = I, I, + l3 = I, + l = /1, 2+!, = I3. (b) Kirchoff's Voltage Law states that the algebraic sum of all voltage drops around a closed circuit is zero." (Voltage equals resistance times current.) Use this law to show that R,I, – R313 – Rgk = 0. Rili + Rglg – R2l2 = 0, Ril, + R,I, = Eo. (c) Show that the bridge is balanced (that is, I = 0) when R, R3 = R2R.. 43. The Wheatstone Bridge The Wheatstone bridge is a device used to measure an unknown resistance R, by com- paring it with known resistances R,, R2, and Ry.$ The circuit diagram is shown in Fig. 3.4.3. The known resis- tances are adjusted so that no current from the cell with

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.39P
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voltage Eo passes through the wire BD, in which there is an ammeter with resistance R.. B D Eo FIGURE 3.4.3 Wheatstone bridge (Problem 43). (a) Use Kirchoff's Current Law that rthe algebraic sum of the currents at each junction must be zero to show that the unknown currents /, I1. Iz, I3, and I, satisfy the lincar system I + l2 = I, I, + l3 = I, + l = /1, 2+!, = I3. (b) Kirchoff's Voltage Law states that the algebraic sum of all voltage drops around a closed circuit is zero." (Voltage equals resistance times current.) Use this law to show that R,I, – R313 – Rgk = 0. Rili + Rglg – R2l2 = 0, Ril, + R,I, = Eo. (c) Show that the bridge is balanced (that is, I = 0) when R, R3 = R2R..
Transcribed Image Text:voltage Eo passes through the wire BD, in which there is an ammeter with resistance R.. B D Eo FIGURE 3.4.3 Wheatstone bridge (Problem 43). (a) Use Kirchoff's Current Law that rthe algebraic sum of the currents at each junction must be zero to show that the unknown currents /, I1. Iz, I3, and I, satisfy the lincar system I + l2 = I, I, + l3 = I, + l = /1, 2+!, = I3. (b) Kirchoff's Voltage Law states that the algebraic sum of all voltage drops around a closed circuit is zero." (Voltage equals resistance times current.) Use this law to show that R,I, – R313 – Rgk = 0. Rili + Rglg – R2l2 = 0, Ril, + R,I, = Eo. (c) Show that the bridge is balanced (that is, I = 0) when R, R3 = R2R..
43. The Wheatstone Bridge The Wheatstone bridge is a device used to measure an unknown resistance R, by com- paring it with known resistances R,, R2, and Ry.$ The circuit diagram is shown in Fig. 3.4.3. The known resis- tances are adjusted so that no current from the cell with
Transcribed Image Text:43. The Wheatstone Bridge The Wheatstone bridge is a device used to measure an unknown resistance R, by com- paring it with known resistances R,, R2, and Ry.$ The circuit diagram is shown in Fig. 3.4.3. The known resis- tances are adjusted so that no current from the cell with
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