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Wheatstone Bridge – Experiment #42 Objective: To measure the resistance of wire spools using a balancing Wheatstone Bridge. Theory and Discussion: I will highlight the main points of the theory behind this experiment. For more detail discussion, see the lab manual for this experiment. The theory behind the measurement process is to connect a system of 4 resistor in a combination with 2 in series and then connect this In parallel with another 2 in series. See manual for actual diagram. The first two resistors in series are labeled R1 and R2 . The other two are R3 and R4 . Resistor R2 is taken as the unknown spool resistance to be measured, while R1, R3 and R4 are balancing resistances. R1 is a balancing decade box resistor that is adjusted to equal as close as possible to the theoretical value of each spool’s resistance. By this doing, we can always balance the bridge near the middle of the wire that contains the resistances R3 and R4 . Resistances R3 and R4 are constituted by a 100 cm length of wire with R3 proportional to the length L3, measured from the left end zero to the balance point on the wire. Then L4 is the difference ( 100 – L3 ). For example if L3 is 48 cm then L4 is 52 cm at the balance point. When the bridge is balanced, the formula for the resistance of the spool will be given by R2 = (L4/L3)R1 I will give you the data set values for each spool In the next paragraph. Please look at the circuit diagram in the manual and see the manual for more detail discussion. DATA SHEET FORMAT: From experiment #39, the theoretical resistances for each spool are as follows: Spool #1, R =0 .53 Ohms; Spool#2, R=2.1 Ohms; Spool #3, R=1.06 Ohms; Spool #4, R= 4.24 Ohms; Spool #5, R = 8.68 Ohms. The balancing values of L3 for each spool are : spool #1, L3 =53 cm; spool #2, L3 = 52 cm; spool #3, L3 = 53 cm; spool #4, L3 = 49 cm ; spool #5, L3 = 47 cm. Let me put this into a table format like in the manual Resistance spool # | Theoretical resistance of R2 Of coil | L3 ( c m) | L4 (cm) | R1 (Ohms) | Experimental value of resistance R2 | % Error --- | --- | --- | --- | --- | --- | --- 1 | 0.53 | 53 | | 0.5 | | 2 | 2.1 | 52 | | 2.1 | | 3 | 1.06 | 53 | | 1.1 | | 4 | 4.24 | 49 | | 4.2 | | 5 | 8.68 | 47 | | 8.7 | | You should complete the missing values through calculation in section 5 of analysis correctly into the data sheet table above or in the manual and complete the rest of the calculations on a separate page. Then write a Summary of Results for the rest of the report together with error analysis.

          Wheatstone Bridge – Experiment #42

Objective: To measure the resistance of wire spools using a balancing Wheatstone Bridge.

Theory and Discussion: I will highlight the main points of the theory behind this experiment. For more detail discussion, see the lab manual for this experiment. The theory behind the measurement process is to connect a system of 4 resistor in a combination with 2 in series and then connect this In parallel with another 2 in series. See manual for actual diagram. The first two resistors in series are labeled R1 and R2 . The other two are R3 and R4 . Resistor R2 is taken as the unknown spool resistance to be measured, while R1, R3 and R4 are balancing resistances. R1 is a balancing decade box resistor that is adjusted to equal as close as possible to the theoretical value of each spool’s resistance. By this doing, we can always balance the bridge near the middle of the wire that contains the resistances R3 and R4 . Resistances R3 and R4 are constituted by a 100 cm length of wire with R3 proportional to the length L3, measured from the left end zero to the balance point on the wire. Then L4 is the difference ( 100 – L3 ). For example if L3 is 48 cm then L4 is 52 cm at the balance point. When the bridge is balanced, the formula for the resistance of the spool will be given by

R2 = (L4/L3)R1

I will give you the data set values for each spool In the next paragraph. Please look at the circuit diagram in the manual and see the manual for more detail discussion.

DATA SHEET FORMAT: From experiment #39, the theoretical resistances for each spool are as follows:

Spool #1, R =0 .53 Ohms; Spool#2, R=2.1 Ohms; Spool #3, R=1.06 Ohms; Spool #4, R= 4.24 Ohms; Spool #5, R = 8.68 Ohms.

The balancing values of L3 for each spool are : spool #1, L3 =53 cm; spool #2, L3 = 52 cm; spool #3, L3 = 53 cm; spool #4, L3 = 49 cm ; spool #5, L3 = 47 cm. Let me put this into a table format like in the manual

Resistance spool # | Theoretical resistance of R2 Of coil | L3 ( c m) | L4 (cm) | R1 (Ohms) | Experimental value of resistance R2 | % Error
--- | --- | --- | --- | --- | --- | ---
1 | 0.53 | 53 | | 0.5 | |
2 | 2.1 | 52 | | 2.1 | |
3 | 1.06 | 53 | | 1.1 | |
4 | 4.24 | 49 | | 4.2 | |
5 | 8.68 | 47 | | 8.7 | |

You should complete the missing values through calculation in section 5 of analysis correctly into the data sheet table above or in the manual and complete the rest of the calculations on a separate page. Then write a Summary of Results for the rest of the report together with error analysis.

Wheatstone Bridge – Experiment #42

Objective: To measure the resistance of wire spools using a balancing Wheatstone Bridge.

Theory and Discussion: I will highlight the main points of the theory behind this experiment. For more detail discussion, see the lab manual for this experiment. The theory behind the measurement process is to connect a system of 4 resistor in a combination with 2 in series and then connect this In parallel with another 2 in series. See manual for actual diagram. The first two resistors in series are labeled R1 and R2 . The other two are R3 and R4 . Resistor R2 is taken as the unknown spool resistance to be measured, while R1, R3 and R4 are balancing resistances. R1 is a balancing decade box resistor that is adjusted to equal as close as possible to the theoretical value of each spool’s resistance. By this doing, we can always balance the bridge near the middle of the wire that contains the resistances R3 and R4 . Resistances R3 and R4 are constituted by a 100 cm length of wire with R3 proportional to the length L3, measured from the left end zero to the balance point on the wire. Then L4 is the difference ( 100 – L3 ). For example if L3 is 48 cm then L4 is 52 cm at the balance point. When the bridge is balanced, the formula for the resistance of the spool will be given by

R2 = (L4/L3)R1

I will give you the data set values for each spool In the next paragraph. Please look at the circuit diagram in the manual and see the manual for more detail discussion.

DATA SHEET FORMAT: From experiment #39, the theoretical resistances for each spool are as follows:

Spool #1, R =0 .53 Ohms; Spool#2, R=2.1 Ohms; Spool #3, R=1.06 Ohms; Spool #4, R= 4.24 Ohms; Spool #5, R = 8.68 Ohms.

The balancing values of L3 for each spool are : spool #1, L3 =53 cm; spool #2, L3 = 52 cm; spool #3, L3 = 53 cm; spool #4, L3 = 49 cm ; spool #5, L3 = 47 cm. Let me put this into a table format like in the manual

Resistance spool # | Theoretical resistance of R2 Of coil | L3 ( c m) | L4 (cm) | R1 (Ohms) | Experimental value of resistance R2 | % Error
— | — | — | — | — | — | —
1 | 0.53 | 53 | | 0.5 | |
2 | 2.1 | 52 | | 2.1 | |
3 | 1.06 | 53 | | 1.1 | |
4 | 4.24 | 49 | | 4.2 | |
5 | 8.68 | 47 | | 8.7 | |

You should complete the missing values through calculation in section 5 of analysis correctly into the data sheet table above or in the manual and complete the rest of the calculations on a separate page. Then write a Summary of Results for the rest of the report together with error analysis.

Added by Samuel J.

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