How do you find the resistance in Ohm's law?

According to Ohm’s law, the voltage across a conductor is directly proportional to the current that flows through it, provided the temperature and physical conditions remain constant.

Mathematically, Ohm’s law can be denoted as:

V = IR
In order to find the resistance, the formula can be rewritten as:

\(R = {V \over I}\)

Related Questions:

  1. What is the necessary condition for a conductor to obey Ohm's Law?
  2. Is resistance constant in Ohm's law?
  3. Why is the curve representing Ohm's law linear?

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CBSE CLASS XII Related Questions

  • 1.
    A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.


      • 2.
        Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

          • \( (M_x - M_z)<M_y \)
          • \( (M_x - M_y)<M_z \)
          • \( M_x>(M_y + M_z) \)
          • \( M_x<(M_y + M_z) \)

        • 3.

          A circular coil of 100 turns and radius $\left(\frac{10}{\sqrt{\pi}}\right)$ cm carrying current of $5.0\,\text{A}$ is suspended vertically in a uniform horizontal magnetic field of $2.0\,\text{T}$. The field makes an angle $30^\circ$ with the normal to the coil. Calculate:

          (I) the magnetic dipole moment of the coil, and

          (II) the magnitude of the counter torque that must be applied to prevent the coil from turning.


            • 4.

              A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

                • 5 V
                • 3.5 V
                • 2.5 V
                • Zero V

              • 5.
                A wire of length \(L\) is bent round into (i) a square coil having \(N\) turns and (ii) a circular coil having \(N\) turns. The coil in both cases is free to turn about a vertical axis coinciding with the plane of the coil, in a uniform, horizontal magnetic field and carry the same currents. Find the ratio of the maximum value of the torque acting on the square coil to that on the circular coil.


                  • 6.
                    The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

                      CBSE CLASS XII Previous Year Papers

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