EC1 - Lab-Electric Circuits with Ohmic and Non-Ohmic...

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Lab-Electric Circuits with Ohmic and Non-Ohmic Conductors Section I: Resistor A Resistor B Resistor C Resistor D V R (Volts) 1.694 2.512 4.484 11.383 I (mA) 11 11 11 11 R DMM (kΩ ) 0.1482 0.2163 0.3838 0.9846 R = V I σ R R = ( σ V V ) 2 +( σ I I ) 2 σ R = R ( σ V V ) 2 +( σ I I ) 2 Resistor A: R = V I ¿ 1.694 V 0.011 A ¿ 154.0 Ω σ R = R ( σ V V ) 2 +( σ I I ) 2 ¿ 154.0 ( 0.001 V 1.694 V ) 2 +( 0.001 A 0.011 A ) 2 ¿ 14.0 Ω R±σ R 154.0 ± 14.0 Ω Resistor B: R = V I ¿ 2.512 V 0.011 A ¿ 228.4 Ω σ R = R ( σ V V ) 2 +( σ I I ) 2 ¿ 228.4 ( 0.001 V 2.512 V ) 2 +( 0.001 A 0.011 A ) 2 ¿ 20.8 Ω
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R±σ R 228.4 ± 20.8 Ω Resistor C: R = V I ¿ 4.484 V 0.011 A ¿ 407.6 Ω σ R = R ( σ V V ) 2 +( σ I I ) 2 ¿ 407.6 ( 0.001 V 4.484 V ) 2 +( 0.001 A 0.011 A ) 2 ¿ 37.1 Ω R±σ R 407.6 ± 37.1 Ω Resistor D: R = V I ¿ 11.383 V 0.011 A ¿ 1034.8 Ω σ R = R ( σ V V ) 2 +( σ I I ) 2 ¿ 1034.8 ( 0.001 V 11.383 V ) 2 +( 0.001 A 0.011 A ) 2 ¿ 94.1 Ω R±σ R 1034.8 ± 94.1 Ω Comparing the directly measured R and the calculated R, the calculated R falls in the region of directly measured R. Section II: # V (Volts) I (mA) 1 0.761 5 2 1.558 10 3 2.328 15 4 3.10 20 5 3.875 25
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Slope = ∆Y ∆ X R = V I R = Slope = 155.4 Ω R±σ R 155.4 ± 0.6 Ω
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