Analog Lab Report 2

1) Resistors

Resistor 1:

Color codes: red, red, orange, gold
Stated resistance value: 22000 ohms
Tolerance: ±5 %
Min/max possible resistance: 20900 / 23100 ohms
Actual measured resistance: 21970 ohms

Resistor 2:

Color codes: yellow, violet, orange, gold
Stated resistance value: 47000 ohms
Tolerance: ±5 %
Min/max possible resistance: 44650 / 49350 ohms
Actual measured resistance: 47200 ohms

Resistor 3

Color codes: red, red, orange, gold
Stated resistance value: 22000 ohms
Tolerance: ±5 %
Min/max possible resistance: 20900 / 23100 ohms
Actual measured resistance: 21750 ohms

2) Resistors in series

Resistor 1: 22000 ohms, 21970 ohms
Resistor 2: 47000 ohms, 47200 ohms
Resistor 3: 22000 ohms, 21750 ohms

Calculated total resistance: 21.97 kΩ + 47.20 kΩ + 21.75 kΩ = 90.92 kΩ

Measured total resistance: 90.70 kΩ

3) Resistors in parallel

Resistor 1: 22000 ohms, 21970 ohms
Resistor 2: 47000 ohms, 47200 ohms
Resistor 3: 22000 ohms, 21750 ohms

Calculated total resistance = 1 / ( (1 / 21.97 kΩ) + (1 / 47.2 kΩ) + (1 / 21.75 kΩ) )
= 8.87 kΩ

Measured total resistance = 8.85 kΩ

4) Voltage dividers

Calculated Vout: 8.39V * 47.2 kΩ / (21.97 kΩ + 47.2 kΩ) = 5.725 V

Measured Vout: 5.725 V

(I don’t know why the measured value matches the calculated value. I swear I actually measured it.)

5) Resistors in series and parallel

Calculated total resistance:

R1 + R2 + R3 = 1 / ( (1 / 21.97 kΩ) + (1 / 47.2 kΩ) + (1 / 21.75 kΩ) ) = 8.87 kΩ
R4 = 47.14 kΩ
R5 + R6 = 1 / ( (1 / 22.03 kΩ) + (1 / 22.10 kΩ)) = 11.03 kΩ
Total = 8.87 kΩ + 47.14 kΩ + 11.03 kΩ = 67.04 kΩ

Measured total resistance: 66.91 kΩ

6) Complicated resistor networks in voltage dividers

Calculated Vout 1:

R1 + R2 + R3 = 8.87 kΩ (as calculated above)
R4 + R5 + R6 = 67.04 kΩ – 8.87 kΩ = 58.17 kΩ
Vout 1 = 8.39 V * 58.17 kΩ / 67.04 kΩ = 7.72 V

Measured Vout 1: 7.02 V

Calculated Vout 2:

R5 + R6 = 11.03 kΩ
total resistance = 67.04 kΩ
Vout 2 = 8.39 V * 11.03 kΩ / 67.04 kΩ = 1.38 V

Measured Vout 2: 1.12 V

7) Kirchoff’s Voltage Law

Measured values:

Resistor 1: 21970 ohms
Resistor 2: 47200 ohms
Resistor 3: 21750 ohms
Vin: 8.39 V
V1 = 2.02 V
V2 = 4.35 V
V3 = 2.01 V
V1 + V2 + V3 = 8.38 V, approximate to 8.39 V

Calculated values:

V1 = 9 V * 22 kΩ / (22 kΩ + 47 kΩ + 22 kΩ) = 2.18 V
V2 = 9 V * 47 kΩ / (22 kΩ + 47 kΩ + 22 kΩ) = 4.65 V
V3 = 9 V * 22 kΩ / (22 kΩ + 47 kΩ + 22 kΩ) = 2.18 V
V1 + V2 + V3 = 9 V

Troubleshooting

When measuring the Vout, put one end of the multimeter at the Vout and the other end at the ground!!!! Don’t put the other end at the Vin.

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