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Question

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(amperes) 0.5 1 2 3 4
V(volts) 1.6 3.4 6.7 10.2 13.2
Plot a graph between V and I and calculate the resistance of that resistor.

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Solution

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Plot of $I$ vs $V$ is shown in the figure.
$Resistance = \frac{1}{Slope}$
From the graph, $Slope = \frac{1 - 0 . 5}{3 . 4 - 1 . 6} = 0.278 Ω^{- 1}$
$R = 1 / 0.278 = 3.6 Ω$

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The five different colored graphs below represent different possible relationships between voltage across resistor and current through the resistor.
Which of the graphs shows the correct relationship for a resistor that obeys Ohm's law?

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While studying the dependence of potential difference (V) across a resistor on the current (I) Passing through it, in order to determine the resistance of the resistor, a student took $5$ readings for different values of current and plotted a graph between V and I. He got a straight line graph passing through the origin. What does the straight line signify? Write the method of determining resistance of the resistor using this graph.

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

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(a) What is the ratio of potential difference and current known as ?

(b) The values of potential difference $V$ applied across a resistor and the corresponding values of current $I$
following in the resistor are given below :
$P o t e n t i a l d i f f e r e n c e, V (i n v o l t s)$ : $2.55.010.015.020.025.0$
$C u r r e n t, I (i n a m p e r e s)$ : $0.10.20.40.60.81.0$

Plot a graph between V and I, and calculate the resistance of the resistor.

(c) Name the law which is illustarted by the above $V - I$ graph.

(d) Write down the formula which states the relation between potential difference , current and resistance.

(e) The potential difference between the terminals of an electric iron is $240 V$ and the current is $5.0 A .$ What is the resistance of the electric iron ?

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 as given.
V(volts) $0.5$ $1.0$ $1.5$ $2.0$ $2.5$ $3.0$ $4.0$ $5.0$
I(amperes) $0.1$ $0.2$ $0.3$ $0.4$ $0.5$ $0.6$ $0.8$ $1.0$
Plot a graph between current(I) and potential difference (V) and determine the resistance (R) of the resistor.

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