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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...
Plotting a graph between V and I
To plot a graph between V and I, we will take the values of I on the y-axis and the values of V on the x-axis. We will plot the given values of I and V as points on the graph and then join these points to get a straight line. This line is called the current-voltage (IV) characteristic of the resistor.
Calculating the resistance of the resistor
The resistance of the resistor can be calculated using the formula:
Resistance = Voltage / Current
We can use any of the given values of V and I to calculate the resistance. Let's use the first set of values:
Resistance = 1.6 / 0.5 = 3.2 ohms
We can calculate the resistance using any other set of values and we should get the same result.
Explanation
The graph we plotted is a straight line, which means that the resistor is a linear resistor. The slope of the line gives us the resistance of the resistor. We can see from the graph that as the voltage across the resistor increases, the current through the resistor also increases. This shows that the resistor is a ohmic resistor, which means that the current through the resistor is directly proportional to the voltage across 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 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?.
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