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The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.?
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The values of current I flowing in a given resistor for the correspond...
V - I graph as shown in figure . Here points lie on the equation of line {where variables are V and I } are (1.6 ,0.5) , (3.4,1.0) , (6.7, 2.0) , (10.2, 3.0) and (13.2, 4.0)
Now , use Ohm's law ,
V = IR
R = V/I , means Resistance is the slope of graph V - I
So, R = (V₂ - V₁)/(I₂ - I₁)
V₂ = 3.4V, V₁ = 1.6V , I₂ = 1A and I₁ = 0.5A
So, R = (3.4 - 1.6)/(1 - 0.5) = 1.8/0.5 = 3.6
Hence, resistance , R = 3.6Ω
similarly R= (V₃ - V₂)/(I₃ - I₂) = (6.7 - 3.4)/(2 - 1) = 3.3
R = (V₄ - V₃)/(I₄ - I₃) = (10.2 -6.7)/(3-2) = 3.5
R=(V₅ - V₄)/(I₅ - I₄) = (13.2 - 10.2)/(4-3) = 3
here R is variable so, take average of all . Rav = (3.6 + 3.3 + 3.5 + 3)/4 = 13.4/4 = 3.35Ω
hence, resistance = 3.35Ω
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The values of current I flowing in a given resistor for the correspond...
Graph of Potential Difference vs Current
To plot the graph of potential difference V against current I, we will use the given values of current and potential difference. The current values are given in amperes (A) and the potential difference values are given in volts (V).
The table below shows the given values:
I (A) | V (V)
--------------
0.5 | 1.6
1.0 | 3.4
2.0 | 6.7
3.0 | 10.2
4.0 | 13.2
We will plot these values on a graph, with the current (I) on the x-axis and the potential difference (V) on the y-axis.
Calculating Resistance
The resistance (R) of the resistor can be calculated using Ohm's Law, which states that the potential difference across a resistor is directly proportional to the current flowing through it. Mathematically, Ohm's Law is expressed as:
V = IR
where V is the potential difference, I is the current, and R is the resistance.
To calculate the resistance, we can rearrange the equation to solve for R:
R = V/I
Using the given values of potential difference and current, we can calculate the resistance for each corresponding pair of values. The resistance values are calculated as follows:
For I = 0.5 A and V = 1.6 V:
R = V/I = 1.6/0.5 = 3.2 Ω
For I = 1.0 A and V = 3.4 V:
R = V/I = 3.4/1.0 = 3.4 Ω
For I = 2.0 A and V = 6.7 V:
R = V/I = 6.7/2.0 = 3.35 Ω
For I = 3.0 A and V = 10.2 V:
R = V/I = 10.2/3.0 = 3.4 Ω
For I = 4.0 A and V = 13.2 V:
R = V/I = 13.2/4.0 = 3.3 Ω
Plotting the Graph
Now, let's plot the graph using the calculated resistance values. The x-axis represents the current (I) and the y-axis represents the potential difference (V).
The graph shows a linear relationship between the values of current and potential difference, indicating that the resistor obeys Ohm's Law. The resistance of the resistor can be determined by finding the slope of the line on the graph.
Conclusion
From the graph, we can see that the potential difference (V) is directly proportional to the current (I), indicating that the resistor follows Ohm's Law. The resistance of the resistor is calculated to be approximately 3.35 Ω using the given values.
To plot the graph of potential difference V against current I, we will use the given values of current and potential difference. The current values are given in amperes (A) and the potential difference values are given in volts (V).
The table below shows the given values:
I (A) | V (V)
--------------
0.5 | 1.6
1.0 | 3.4
2.0 | 6.7
3.0 | 10.2
4.0 | 13.2
We will plot these values on a graph, with the current (I) on the x-axis and the potential difference (V) on the y-axis.
Calculating Resistance
The resistance (R) of the resistor can be calculated using Ohm's Law, which states that the potential difference across a resistor is directly proportional to the current flowing through it. Mathematically, Ohm's Law is expressed as:
V = IR
where V is the potential difference, I is the current, and R is the resistance.
To calculate the resistance, we can rearrange the equation to solve for R:
R = V/I
Using the given values of potential difference and current, we can calculate the resistance for each corresponding pair of values. The resistance values are calculated as follows:
For I = 0.5 A and V = 1.6 V:
R = V/I = 1.6/0.5 = 3.2 Ω
For I = 1.0 A and V = 3.4 V:
R = V/I = 3.4/1.0 = 3.4 Ω
For I = 2.0 A and V = 6.7 V:
R = V/I = 6.7/2.0 = 3.35 Ω
For I = 3.0 A and V = 10.2 V:
R = V/I = 10.2/3.0 = 3.4 Ω
For I = 4.0 A and V = 13.2 V:
R = V/I = 13.2/4.0 = 3.3 Ω
Plotting the Graph
Now, let's plot the graph using the calculated resistance values. The x-axis represents the current (I) and the y-axis represents the potential difference (V).
The graph shows a linear relationship between the values of current and potential difference, indicating that the resistor obeys Ohm's Law. The resistance of the resistor can be determined by finding the slope of the line on the graph.
Conclusion
From the graph, we can see that the potential difference (V) is directly proportional to the current (I), indicating that the resistor follows Ohm's Law. The resistance of the resistor is calculated to be approximately 3.35 Ω using the given values.
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The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.?
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The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.?.
The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.?.
Solutions for The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.? in English & in Hindi are available as part of our courses for Class 10.
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The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.?, a detailed solution for The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.? has been provided alongside types of The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: I (ampere) 0.5 1.0 2.0 3.0 4.0 V (volt) 1.6 3.4 6.7 10.2 13.2Plot a graph between V an I and calculate the resistance of the resistor.? theory, EduRev gives you an
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