Divider A is two resistors across an ideal source; divider B is two resistors across…

PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Circuit foundations and passive networks · Sensors, detectors and experimental instrumentation

Electronics for Measurement, Ch The resistive network: two laws, one equivalent and the loading error

Problem

Divider A is two

1.0\,\mathrm{M}\Omega

resistors across an ideal

10.0\,\mathrm{V}

source; divider B is two

1.0\,\mathrm{k}\Omega

resistors across the same

10.0\,\mathrm{V}

. A technician says: "Both dividers give

5.0\,\mathrm{V}

at their midpoint, since the resistor ratio is

1{:}1

in each case, so a

2.0\,\mathrm{k}\Omega

data-logger input will read

5.0\,\mathrm{V}

from either one." ((a)) Find the Thevenin resistance of each divider. ((b)) Predict what the

2.0\,\mathrm{k}\Omega

logger actually reads on each divider, and say whether the technician is right.

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