Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as 47 Ω ± 10 % . Potential difference/ V Current / A 2.1 0.040 4.0 0.079 6.3 .0128 7.9 0.192 10.0 0.202 12.1 0.250 Plot a graph to show the I - V Characteristic of this resistor.

Carbon resistor with resistance R = 47 Ω ± 10 % Given by the manufacturer. I - V characteristic of the resistor according to the results of the experiment is drawn below. From Ohm's law we have V = I R . So, we get an equation of straight line passing through the origin, so the graph should pass through origin.

Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as 47 Ω ± 10 % . Potential difference/ V Current / A 2.1 0.040 4.0 0.079 6.3 .0128 7.9 0.192 10.0 0.202 12.1 0.250 Do the points appear to fall on a straight line that passes through the origin of the graph?

Yes, the points appear to fall on a straight line that passes through the origin of the graph except 7 . 9 . Since this point is anomalous and can be ignored.So we can say Yes all the points appear to fall on a straight line passing through origin.We all know that Ohm's law indicates that the line will pass through the origin. V = I R .

Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as 47 Ω ± 10 % . Potential difference/ V Current / A 2.1 0.040 4.0 0.079 6.3 .0128 7.9 0.192 10.0 0.202 12.1 0.250 Use the graph to determine the resistance of the resistor.

Using the above graph we need to calculate the resistance of the resistor. Which can be written as change in X coordinate, i.e, change in the voltage upon change in Y coordinate ,i.e, change in the current. So, R = ∆ V ∆ I = 12 - 0 0 . 25 - 0 = 48 Ω ∴ The required resistance R of the resistor is 48 Ω .

Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as 47 Ω ± 10 % . Potential difference/ V Current / A 2.1 0.040 4.0 0.079 6.3 .0128 7.9 0.192 10.0 0.202 12.1 0.250 Does the value of the resistance fall within the range given by the manufacturer?

Yes, the resistance fall in the range given by the resistor. The range of the manufacturer is 47 Ω ± 10 % Which implies that the range is 47 - 4 . 7 = 42 . 3 Ω to 47 + 4 . 7 = 51 . 7 Ω And since the value of resistance came out to be R = ∆ V ∆ I = 12 - 0 0 . 25 - 0 = 48 Ω ∴ The required resistance R of the resistor is 48 Ω .

E M B I B E

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 10 - Resistance and Resistivity>Question

David Sang and Graham Jones Solutions for Chapter: Resistance and Resistivity, Exercise 2: Question

Author:David Sang & Graham Jones

David Sang Physics Solutions for Exercise - David Sang and Graham Jones Solutions for Chapter: Resistance and Resistivity, Exercise 2: Question

Attempt the free practice questions on Chapter 10: Resistance and Resistivity, Exercise 2: Question with hints and solutions to strengthen your understanding. Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access solutions are prepared by Experienced Embibe Experts.

Questions from David Sang and Graham Jones Solutions for Chapter: Resistance and Resistivity, Exercise 2: Question with Hints & Solutions

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 10 - Resistance and Resistivity>Question>Q 1

Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as $47 Ω \pm 10 %$ .

Potential difference/ V	Current / A
2.1	0.040
4.0	0.079
6.3	.0128
7.9	0.192
10.0	0.202
12.1	0.250

Plot a graph to show the $I - V$ Characteristic of this resistor.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 10 - Resistance and Resistivity>Question>Q 1

Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as

$47 Ω \pm 10 %$ .

Potential difference/ V	Current / A
2.1	0.040
4.0	0.079
6.3	.0128
7.9	0.192
10.0	0.202
12.1	0.250

Do the points appear to fall on a straight line that passes through the origin of the graph?

MEDIUM

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 10 - Resistance and Resistivity>Question>Q 1

Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as $47 Ω \pm 10 %$ .

Potential difference/ V	Current / A
2.1	0.040
4.0	0.079
6.3	.0128
7.9	0.192
10.0	0.202
12.1	0.250

Use the graph to determine the resistance of the resistor.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 10 - Resistance and Resistivity>Question>Q 1

Table shows the results of an experiment to measure the resistance of a carbon resistor whose resistance is given by the manufacturer as $47 Ω \pm 10 %$ .