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  • In an experiment to determine the resistance of a given wire, a voltage V is applied across the wire and the resulting current I is measured. The voltage is gradually increased, and the correspondi

In an experiment to determine the resistance of a given wire, a voltage V is applied across the wire and the resulting current I is measured. The voltage is gradually increased, and the corresponding currents and voltages are recorded as shown below:

Voltage (V) Current (I)
1.5 0.2
3.0 0.4
4.5 0.6
6.0 0.8

Using this data, calculate the resistance of the given wire:

Option: 1

8.5 \Omega


Option: 2

79.5 \Omega


Option: 3

59.5 \Omega


Option: 4

7.5 \Omega


Answers (1)

best_answer

Ohm’s law states that the resistance (R) of a component is given by the ratio of voltage (V) across the component to the current (I) flowing through it:

                    R =\frac{V}{I}

Let’s use the provided data points to calculate the resistance for each voltage-current pair and then find the average resistance:

Voltage (V) Current (I) Resistance (R)
1.5 0.2 7.5
3.0 0.4 7.5
4.5 0.6 7.5
6.0 0.8 7.5

We can observe that the calculated resistance is the same for all data points, which is 7.5 \Omega.
Hence, the resistance of the given wire is approximately 7.5 \Omega.

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Riya

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