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Ohm's Law

Graphs plotte...

Question

Graphs plotted by four students A, B, C and D for the experiment "To study the dependence of current (I) on the potential difference (V) across a resistor" are shown below:

The correct V-I graph is
(1) A
(2) B
(3) C
(4) D

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Solution

Ohm's Law gives us the dependence of current on the potential difference across a resistor. i.e. $V = I R or I = (\frac{1}{R}) V$ . From the given expression, we can say that the graph between I and V is a straight line passing through the origin.

Hence, the correct answer is option 2.

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Q. You are given the following four voltmeters to study the dependence of current (I) on the potential difference (V) across a resistor.

Which one of the above voltmeters would you prefer to use in the circuit to begin your experiment?
(1) A
(2) B
(3) C
(4) D

Q. To study the dependence of current (I) on the potential difference (V) across a resistor, the following observations were made by four students A, B, C and D.

Student	Reading No. 1	Reading No. 2	Reading No. 3
A	V = 0.5 V I = 0.1 A	V = 1.0 V I = 0.2 A	V = 1.5 V I = 0.3 A
B	V = 0.8 V I = 0.4 A	V = 1.6 V I = 0.8 A	V = 2.4 V I = 1.2 A
C	V = 1.0 V I = 0.5 A	V = 1.2 V I = 1.4 A	V = 1.4 V I = 1.0 A
D	V = 2.4 V I = 0.8 A	V = 2.7 V I = 0.9 A	V = 3.0 V I = 1.0 A

The teacher found that one of the students has made wrong observations. The student who made the mistake is:
(1) A
(2) B
(3) C
(4) D

Q. Four students performed experiments on series and parallel combination of two given resistors R₁ and R₂ which obey Ohm's law and plotted the following V

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Which of the graph is correctly labeled in terms of 'series' and 'parallel'?
(1) graph A
(2) graph B
(3) graph C
(4) graph D

Q. In an experiment to study the dependence of current on potential difference across a resistor, a student obtained the graph as shown in the diagram
find the value of resistance of the resistor

Q. The values of current (I) flowing through a given resistor of resistance (R), for the corresponding values of potential difference (V) across the resistor are given below :

\begin{matrix} V (volts) & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 & 4.0 & 5.0 I (amperes) & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.8 & 1.0 \end{matrix}

Plot a graph between current (I) and potential difference (V) and determine the resistance (R) of the resistor.

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