E0 - LAB REPORT FOR EC0 EXPERIMENT ERROR ANALYSIS VI we...

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LAB REPORT FOR EC0 EXPERIMENT: ERROR ANALYSIS VI: we measured 10 times of table length # L(cm) 1 177.2 2 177.2 3 177.4 4 178.1 5 177.2 6 177.5 7 177.7 8 177.7 9 176.0 10 177.5 Average of L: Average of L = L 1 + L 2 + + L n n ¿ 177.2 + 177.2 + 177.4 3 ¿ 177.3 cm Standard Deviation: σ L = ( L avg L 1 ) 2 +( L avg L 2 ) 2 + +( L avg L n ) 2 n 1 ¿ ( 177.3 177.2 ) 2 +( 177.3 177.2 ) 2 + +( 177.3 177.4 ) 2 2 ¿ 0.115 First 3 measurements (unit: cm): Standard Deviation of mean: σ L avg = σ L n ¿ 0.115 3 ¿ 0.066 cm First 5 measurements (unit: cm): Standard Deviation of mean: σ L avg = σ L n ¿ 0.390 5
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¿ 0.174 cm First 10 measurements (unit: cm): Standard Deviation of mean: σ L avg = σ L n ¿ 0.552 10 ¿ 0.175 cm L±σ L avg 177.35 ± 0.18 cm VII Uncertainty of I: σ I due σ I due σ I = ( ¿ parallax ) 2 +( ¿ meter graduation ) 2 ¿ (( 31.0 30.0 ) m A ) 2 +( 1 2 mA ) 2 ¿ 1.118 mA Uncertainty of V: σ V due σ V due σ V = ( ¿ parallax ) 2 +( ¿ meter graduation ) 2 ¿ (( 5 4.5 ) volts ) 2 +( 0.5 2 volts ) 2 ¿ 0.559 volts Calculation of R: R = V I ¿ 4.5 volts 30.0 mA ¿ 150 Ω Uncertainty of R: σ R = R ( σ V V ) 2 +( σ I I ) 2 ¿ 150 ( 0.559 volts 4.5 volts ) 2 +( 1.118 mA 30 mA ) 2 ¿ 0.130 Ω R±σ
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