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uestions 1. In Figure 1, are we really measuring the current passing through the

ID: 1657218 • Letter: U

Question

uestions 1. In Figure 1, are we really measuring the current passing through the resistor R only? If not, what are we measuring? If the resistance of the voltmeter Ry is about 100 times of R, what is the percent error when we calculate the resistance R' ' using the current measur the ammeter in Figure 1? If you have difficulty in solving above problem you can use some arbitrary numbers, say, R = 5.0 , Rys 100 R-500 and V = 20.0 V. Find I, calculate R' and the percent error ed by 2. n Figure 3, the ammeter is measuring the current passing through the resistor only, but the voltmeter is measuring the total voltage across the resistance and the ammeter. If the resistance of the ammeter Ra is one hundredth of R, what is the percent error when we calculate R' V/I using the voltage measured by the voltmeter in Figure 3? Figure 3

Explanation / Answer

when ammeter and R are connected in series,

Req = R + Ra = R + (R/100) = 1.01R

I = V / 1.01R

R' = V / 1.01 I

error = R - R' = 9.90 x 10^-3 (V / I)

%error = (9.90 x 10^-3 V / I ) / (V / I) x 100

= 0.99 %

Or 1 % error