Voltage Measurement: Finite Input Resistance Loads a Divider

Voltage Measurement: Finite Input Resistance Loads a Divider

Original quantitative learning practice in English. All 24 questions are included. Four supplied cases exercise six related calculation targets; they form one topic, not four separate tests. Every question includes the complete initial data. Use the stated model and retain intermediate precision. Choose one answer. Learning target: 20/24, not an official pass mark. This bank covers the calculation topic in its title; it is not a complete professional examination, design approval or operating instruction.
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An ideal 18 V source feeds a divider with upper resistance 110000 Ω and lower resistance 14000 Ω. A voltmeter of input resistance 140000 Ω is connected across the lower resistor. Treat it as an ideal resistor with zero bias current and no capacitance. Unloaded output=source×bottom/(top+bottom). With the meter present, replace bottom by bottom×meter/(bottom+meter). All calculations concern this supplied DC model. Calculate the equivalent loaded lower-branch resistance in Ω. Keep intermediate values unrounded; round the final result to four decimal places if necessary.