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The value of current (I) flowing through a given resistor of resistance (R). The corresponding values of potential difference (V) across the resistor are as given below.

The value of resistance (R) must be [[1]] $ohms$ .

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Detailed Solution

The value of resistance (R) must be

5

ohms

.
According to Ohm’s Law, “the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant.”

Voltage (V) = current (I) \times Resistance (R)

R = V / I

\Rightarrow R = 0.5 / 0.1

\Rightarrow R = 5 Ω

Therefore, the value of resistance (R) must be

5

ohms

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