Set 6 ch 26 HW Exercise 26.37 Exercise 26.37 A circuit consists of a series comb

Question

Set 6 ch 26 HW Exercise 26.37 Exercise 26.37 A circuit consists of a series combination of 6.00 k2 and 4.50 -k2 resistors connected across a 50.0 V battery having negligible internal resistance. You want to measure the true potential difference (that is, the potential difference without the meter present) across the 4.50 -k2 resistor using a voltmeter having an internal resistance of 10.0 k2. Resources previous 13 of Part A What potential difference does the voltmeter measure across the 4.50 -k2 resistor? 10 Submit My Answers Give Up incorrect; Try Again Part B What is the true potential difference across this resistor when the meter is not present? help V

Explanation / Answer

What potential difference does the voltmeter measure across the 4.50k resistor?
10k in parallel with 4.5k = 4.5*10/4.5+10 = 50/15 =3.10 ohms
the circuit is effectively 3.10k in series with 6k across 50v
voltage divider operation is 50* 3.10/(3.10+6) = 17.03Volts

What is the true potential difference across this resistor when the meter is not present?
voltage divider action is 50*4.5/(4.5+6) = .21.42 Volts

By what percentage is the voltmeter reading in error from the true potential difference?
(21.42 - 17.03)/21.42 = .204 = 20.4%

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