Thursday, March 21, 2013

Resistance Lab Report


Design Overview
  This is the design overview of the report. It describes the main purpose for the experiments to be carried out In order to investigate the link between the factors and the resistance, a few experiments regarding to their designated factors must be done. This will be a report with multiple experiments, being analyzed and documented separately, and only being linked (concluded) at last.

Aim
To investigate the factors that affect resistance
Research Question
What link can be generated between the factors and the resistance?
Hypothesis
Factors affecting the flow of electron affect resistance


Experiment 1
Design
Aim
To investigate the relationship between resistance and the length of the wire
Hypothesis
The longer the length of the wire, the higher the resistance
Variables
Ways
Constant
The current and voltage flowing through the circuit
By using the same batteries with each of the experiments to ensure the constancy of the voltage and current
Manipulated
The length of the wire
Measure the wire thrice before cutting and cut it with sharp object to ensure accuracy
Responding
The resistance of the circuit
Calculate resistance by taking down the voltage and current, substituting them into the formula V=IR

Apparatus
1.      1 ammeter
2.      2 crocodile clips (red & black)
3.      2 1.5V batteries
4.      1 0.5m SWG26 Nichrome wire
5.      1 0.75m SWG26 Nichrome wire
6.      1 1m SWG26 Nichrome wire

Procedure
1.      Arrange the apparatus accordingly to the circuit stated
2.      Complete the circuit with the 0.5m Nichrome wire
3.      Note down the reading of the ammeter
4.      Repeat step 2 and 3 with 0.75m and 1m Nichrome wire

Safety Procedure
1.      Do not connect the circuit by holding the wire and the Nichrome wire with hands
2.      Use low voltage batteries to avoid the danger of being electrified


Data
The following is a table regarding to the results of the experiment:
Diameter
Type of wire
Length (m)
Voltage (V)
Current (A)
Resistance (Ohms) V=IR
SWG26
Nichrome
0.5
3
0.35
8.57
0.75
3
0.25
12.1
1
3
0.18
16.67

Observation
There is an increase of voltage and current when the length is increased. With the formula V=IR, the resistance is calculated and with the increase of the length, there is an increase in the resistance.



Data Analysis

The increase of resistance is caused by the electrons bumping into ions in the wires. If the length is doubled, it means that the electron must bump into twice as much of ion particles present in the wire, which causes the average electron moving speed to drop.


By inserting the data into the resistance over length graph, a straight line is formed passing through the origin. There is a constant where the ions increase with the length of the wire, which causes the electron’s speed to decrease in a constant too. This proves that the resistance is directly proportional to the length of the wire.

Evaluation
  The battery pack is measured with a multimeter to confirm its voltage for an accurate result. The length of the wire is inaccurate due to the inaccuracy of identifying the point of the cutting and the lacking of proper equipment to make a clean cut. Although the graph is not plotted with a complete straight line, estimation is made where the line is drawn through the average of two points, giving an accurate answer.
 Things to Improve:
·         Using the multimeter instead of the ammeter where the experiment will be simpler and more accurate
·         Using diagonal pliers to cut the wire for its sharpness and accuracy in length
·         Usage of a variable resistor, as it too uses the theory of increasing the length of the circuit to increase resistance

Conclusion
The hypothesis is valid where resistance is directly proportional to length. Hence,

R α L

Experiment 2
Design
Aim
To investigate the relationship between resistance of a conductor and cross-sectional area of wire
Hypothesis
The larger the cross-sectional area of the wire, the lower the resistance
Variables
Ways
Constant
The current and voltage flowing through the circuit
By using the same batteries with each of the experiments to ensure the constancy of the voltage and current
Manipulated
The cross-sectional area of the wire
Using different wires with different diameters by identifying the SWG of the wire
Responding
The resistance of the circuit
Calculate resistance by taking down the voltage and current, substituting them into the formula V=IR

Apparatus
1.      1 ammeter
2.      2 crocodile clips (red & black)
3.      2 1.5V batteries
4.      1 1m SWG26 Nichrome wire
5.      1 1m SWG28 Nichrome wire

Procedure
1.      Arrange the apparatus accordingly to the circuit stated
2.      Complete the circuit with the SWG 26 1m Nichrome wire
3.      Note down the reading of the ammeter
4.      Repeat step 2 and 3 with the SWG 28 1m Nichrome wire

Safety Procedure
1.      Do not connect the circuit by holding the wire and the Nichrome wire with hands
2.      Use low voltage batteries to avoid the danger of being electrified


Data
The following is a table regarding to the results of the experiment
Diameter (SWG)
Diameter (mm)
Type
Length (m)
Voltage (V)
Current (A)
Resistance (Ohms)
SWG 26
0.457
Nichrome
1
3
0.18
16.67
SWG 28
0.376
Nichrome
1
3
0.16
18.75

Observation
There is an increase of voltage and current when the diameter is decreased. With the formula V=IR, the resistance is calculated and with the increase of the diameter, there is an increase in the resistance.

Data Analysis
The decrease of resistance is caused by the number of electrons flowing through a part of the wire per time. When there is an increase in the wire’s diameter, there is an increase of ion particles. This allows more electrons to pass through where the charge increases, causing an increase in the current, decreasing the resistance.
  As you can see, the diagram displays on the flow of electrons in the wire, with red being the ions and black ones are being the electrons. With a bigger diameter, there will be more presence of ion particles due to the more materials used. Therefore, more ions mean more electrons can be transferred at a time, decreasing the resistance.
  When the data is inputted into a resistance over area graph, where the area is calculated using the equation , and the resistance with V= IR. The resistance is inversely proportional to the cross-sectional area of the wire where if the area increases, the resistance decreases, vice versa.


Evaluation
  No resistors are used in this experiment, causing the battery to short-circuit, draining all of its energy in just a short amount of time. The battery was forced to be changed in order to carry on the experiment.
  A multi-meter should be used to measure the resistant too for a more accurate answer as the reading on the ammeter keeps jumping up and down making the results unreadable and inaccurate.

Conclusion
The resistance inversely proportional to the cross-sectional area of wire, therefore hypothesis is proven. Hence,
R α 1/A

 


Experiment 3
Design
Aim
To investigate the relationship between resistance of a conductor and temperature
Hypothesis
The higher the temperature, the higher the resistance
Variables
Ways
Constant
The current and voltage flowing through the circuit
By using the same batteries with each of the experiments to ensure the constancy of the voltage and current
Manipulated
The temperature of the wire
Changing the environment’s temperature by using a Bunsen burner while comparing it to room temperature
Responding
The resistance of the circuit
Calculate resistance by taking down the voltage and current, substituting them into the formula V=IR

Apparatus
1.      1 ammeter
2.      2 crocodile clips (red & black)
3.      2 1.5V batteries
4.      1 1m SWG26 Nichrome wire
5.      1 1m SWG28 Nichrome wire
6.      Bunsen Burner
Procedure
1.      Arrange the apparatus accordingly to the circuit stated
2.      Complete the circuit with the SWG 26 1m Nichrome wire
3.      Burn the wire using the Bunsen burner
4.      Note down the reading of the ammeter
5.      Repeat step 2, 3 and 4 with the SWG 28 1m Nichrome wire
Safety Procedure
1.      Do not connect the circuit by holding the wire and the Nichrome wire with hands
2.      Use low voltage batteries to avoid the danger of being electrified
3.      Be cautious while handling the Bunsen burner

 Data

Resistance (Ohms)
Diameter (SWG)
Type
Before Heating
After heating
SWG 26
Nichrome
16.67
16.87
SWG 28
Nichrome
18.75
19.05

Observation
There is a slight increase of resistance after the temperature of the wire is increased by the Bunsen burner. With estimation for the change of temperature around 2000 degree Celsius, there is an increase of 0.2 ohms of resistance.


Data Analysis
  There is an increase of resistance due to the movement of particles reacting to the heat energy. When atoms are heated up, they contain more energy causing the kinetic energy present inside them to increase. The resistance is increased where the atoms are heated up, electrons will have a harder time getting pass the atoms due to the increased of number of collisions made.
  With every temperature increase, there will be always a constant increase in resistance due to the atoms. However, the formula cannot be figured out and the data cannot be inputted into a graph due to the inability to measure the temperature increase of the wire.
Evaluation
  The battery pack is measured with a multi-meter to confirm its voltage for an accurate result. The length of the wire is inaccurate due to the inaccuracy of identifying the point of the cutting and the lacking of proper equipment to make a clean cut. Although the graph is not plotted with a complete straight line, estimation is made where the line is drawn through the average of two points, giving an accurate answer.
 Things to Improve:
·         Using the multi-meter instead of the ammeter where the experiment will be simpler and more accurate
·         Using diagonal pliers to cut the wire for its sharpness and accuracy in length
·         Usage of a variable resistor, as it too uses the theory of increasing the length of the circuit to increase resistance
·         The exact heat temperature of the wire couldn’t be measured where expensive high-end equipment must be used in order to carry out such tasks.
Conclusion
The higher the temperature, the higher the resistance, therefore, the hypothesis is proven.


Experiment 4
Design
Aim
To investigate the relationship between resistance and the material of the wire
Hypothesis
The longer the length of the wire, the higher the resistance
Variables
Ways
Constant
The current and voltage flowing through the circuit
By using the same batteries with each of the experiments to ensure the constancy of the voltage and current
Manipulated
The material of the wire
Identifying and changing the types wire accordingly by their properties such as color, hardness and more.
Responding
The resistance of the circuit
Calculate resistance by taking down the voltage and current, substituting them into the formula V=IR

Apparatus
7.      1 ammeter
8.      2 crocodile clips (red & black)
9.      2 1.5V batteries
10.  1 1m Copper Wire
11.  1 1m SWG26 Nichrome wire

Procedure
5.      Arrange the apparatus accordingly to the circuit stated
6.      Complete the circuit with the Nichrome wire
7.      Note down the reading of the ammeter
8.      Repeat step 2 and 3 with the copper wire

Safety Procedure
3.      Do not connect the circuit by holding the wire and the Nichrome wire with hands
4.      Use low voltage batteries to avoid the danger of being electrified


Data
Diameter
Material
Length (m)
Voltage (v)
Current (A)
Resistance (Ohm) V=IR
SWG 26
Nichrome
1
3
0.18
16.67
SWG 26
Copper
1
3
11.627
0.258

Observation
The resistance of Nichrome wire is higher than copper wire, with the formula V=IR, the resistance of Nichrome wire is 16.67 ohms and the resistance for copper wire is 0.258 ohms.


Data Analysis
  Different types of materials have different resistance, where they have different ways of transferring the electrons from one another due to their electron alignment. From the table, the constant for Nichrome is 1.1 x 10^-6 and copper is 1.7 x 10^-8.
  Copper has less resistance than Nichrome where more energy is consumed by resistance. Copper being cheap and easily accessible, is used frequently for electrical purposes such as wiring due to its low resistance.
Evaluation
  The battery pack is measured with a multi-meter to confirm its voltage for an accurate result. The length of the wire is inaccurate due to the inaccuracy of identifying the point of the cutting and the lacking of proper equipment to make a clean cut. Although the graph is not plotted with a complete straight line, estimation is made where the line is drawn through the average of two points, giving an accurate answer.
 Things to Improve:
·         Using the multi-meter instead of the ammeter where the experiment will be simpler and more accurate
·         Using diagonal pliers to cut the wire for its sharpness and accuracy in length
·         Usage of a variable resistor, as it too uses the theory of increasing the length of the circuit to increase resistance
Conclusion
  Different types of material have different resistance. The hypothesis is proven.


Overall Conclusion
·         R α L
·         R α 1/A
  From these two relationships acquired from the experiments, an equation can be created which can connect both of the two stated relationships.
R=p (1/A )
  This equation is acquired by using the proportionate rule, where R α L is equivalent to R=p (L) where p is a constant. The same applies to R α 1/A where R= p(1/A). Both can be combined which forms the stated equation.
  In conclusion, it is proven that factors which affect the movement of electrons in atoms will affect resistance, where the size, temperature, materials all affects the electrons.
  Resistance can bring us advantages and disadvantages too, where it can help us control the amount of current going through while much energy loss occurred because of resistance. Therefore, I hope that further research could be made to improve and advance in technology.

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