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# When the potential difference between two points is $1\,V$ and current through it is $1\,A$, then the resistance between the points is: A. $3\Omega$B. $2\Omega$ C. $0.5\Omega$D. $1\Omega$

Last updated date: 15th Jul 2024
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Hint:Study about the relation between the current and the voltage of a circuit. The relation between current and voltage is given by the Ohm’s law which states that the voltage of a circuit if other physical quantities are kept constant is directly proportional to the current flowing through the circuit.

Formula used:
The mathematical expression of the Ohm’s law is given by,
$V = IR$
where, $V$ is the potential difference of the circuit element,$R$ is the resistance of the circuit element and $I$ is the current through it.

We have given here the potential difference between two points $1\,V$ and the current between the points is $1\,A$. Now, we know that the Ohm’s law states that the voltage of a circuit if other physical quantities are kept constant is directly proportional to the current flowing through the circuit which can be written as, $V \propto I$ where, $V$ is the potential difference of the circuit element and $I$ is the current through it.
Introducing a constant to the equation we will have, $V = IR$. This $R$ is called resistance between the points. So, putting the value of $V = 1V$,$I = 1A$ we have,
$1 = 1 \times R$
$\therefore R = 1\Omega$
Hence, the resistance between the points is $1\Omega$.