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.
    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?

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

    • 2.
      With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.


        • 3.
          A charged particle $+q$ in an electric field $\vec{E}$ experiences a force in the direction of the electric field. As a result, its kinetic energy changes. Similarly, the charged particle also experiences a force when it moves in a magnetic field $\vec{B}$. But this magnetic force is perpendicular to both velocity $\vec{v}$ of the charged particle and the magnetic field $\vec{B}$, so it cannot change the kinetic energy of the charged particle. Consider two charged particles 1 and 2 of masses $m$ and $\frac{m}{2}$ having charges $-q$ and $+2q$ respectively. They are accelerated from rest through the same potential difference $V$ and acquire kinetic energy $K_1$ and $K_2$. Then they enter in a region of uniform magnetic field $\vec{B}$ perpendicular to their velocities.


            • 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.
                  Two air-filled capacitors of capacitances $C_1$ and $C_2$ are connected in parallel with a dc battery. After the capacitors are fully charged, a slab of dielectric constant K is inserted between the plates of each capacitor. How will the (i) charge on each capacitor and (ii) energy stored in the capacitor affected after the slab is introduced.


                    • 6.
                      Write two advantages of reflecting telescope over refracting telescope.

                        CBSE CLASS XII Previous Year Papers

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