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1.(10 points) To extend the useful range of a voltmeter, an additional resistor,

ID: 1503919 • Letter: 1

Question

1.(10 points) To extend the useful range of a voltmeter, an additional resistor, R_series, is placed in series with the voltmeter as shown in the figure. If the internal resistance of the voltmeter is Ri, V, determine the resistance that the added series resistor has to have to extend the useful range of the voltmeter. Then, calculate the resistance the series resistor has to have to allow a voltmeter with an internal resistance of 2.00 M0(106 ) and a maximum, range of 2.00 V to measure potential differences up to 200. V. emf

Explanation / Answer

The meter has an internal resistance of 2M ohms. It takes 2V. for FSD. You want it to read 200V. at FSD.
(2M x 200/2) - 2M) = series resistance of 198M ohms.