What is Effective Resistance?

Effective Resistance, in a complicated circuit with two or more resistors, is the measure of total resistance of every resistor in the circuit.

Resistance

Resistors are two-terminal passive electronic devices that supply electrical resistance like a circuit element. Resistors in circuits reduce the flow of current as well as lower voltage fluctuations.

The formula for Effective Resistance

In any complicated circuit with two or more resistors, the effective resistance is estimated by the addition of total resistance in every resistor throughout the circuit. Resistors, in this case, can either be connected in a parallel or serial manner.

Series Combination

R = R1 + R2 + … + Rn

Parallel Combination

R = \({{1} \over R_1} + {{1} \over R_2} + ... + {{1} \over R_n}\)

Read More: Ohm’s Law and its Limitations


Related Questions:

  1. What is the necessary condition for a conductor to obey Ohm's Law?
  2. How do you find the resistance to Ohm's law?
  3. Why is the curve representing Ohm's law linear?
  4. Is resistance constant in Ohm's law?
  5. What are the limitations of Ohm's Law?
  6. What are the 3 forms of Ohm's law?

Also Check Out:

CBSE CLASS XII Related Questions

  • 1.

    (I) The real image of an object placed between $f$ and $2f$ from a convex lens can be seen on a screen placed at the image location. If the screen is removed, is the image still there? Explain.

    (II) Plane and convex mirrors produce virtual images of objects. Can they produce real images under some circumstances? Explain.


      • 2.
        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.


          • 3.

            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

            • 4.
              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.


                • 5.

                  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.


                    • 6.
                      In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

                        • \(10\ \text{N/C}\) along \(+x\)
                        • \(10\ \text{N/C}\) along \(-x\)
                        • \(50\ \text{N/C}\) along \(+x\)
                        • \(50\ \text{N/C}\) along \(-x\)
                      CBSE CLASS XII Previous Year Papers

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