For the resistor combination, find the equivalent resistance between M and N.

As per what is given, the resistance of the given resistors are = R1, R2, R3, and R4. In order to determine the Equivalent Resistance (Req) between M and N, we have to assume the following diagram:

Combination of Resistors

From the figure, R3 and R4 are in parallel combinations. We are already aware that the total resistance can be expressed as follows when two conductors are connected in parallel:

Thus,

1/Rp = 1/R3 + 1/R4

= R4 + R3/R3 x R4

= R3 \(\times\) R4/ R4 + R3

Now, it is clear that R1, R2 and Rp are in series. Hence, the equivalent resistance can be represented as:

⇒ Req = R1 + R2 + Rp

= R1 + R2 + R3 x R4/ R4 + R3

Therefore, the equivalent resistance, (Req) between points M and N equals R1 + R2 + R3 x R4/ R4 +R3.


Related Questions

  1. In An Arrangement Of Resistances, Find Effective Resistance Between Points A and B.
  2. X and Y, which are two resistors, with resistances of 2 Ω and 3 Ω respectively are first connected in parallel and then in series. In both cases, the voltage that is supplied is 5 V. (i) Illustrate a circuit diagram to show the combination of resistors. (ii) Calculate the amount of voltage across 3 Ω resistor in the series combination of resistors.
  3. Draw An Electric Circuit With A Cell, Key, Ammeter, A Resistor (Series) Of 2 Ohm With a Combination Of Two Resistors (4 Ohm Each) In Parallel And A Voltmeter Across Parallel Combination.
  4. What Is Effective Resistance?
  5. What is Null Voltage?
  6. Three Incandescent Bulbs (Each 100 W) Are Attached In Series. In Another Circuit, Three More Bulbs Of Same Wattage Are Attached Parallelly To An Equal Source.
  7. Two Identical Resistors With Resistances 15 Ohm Are Connected In Series And Parallel To A Battery Of 6 V. Calculate Ratio Of Power Consumed.
  8. A Circuit Consists Of A Battery Of 3 Cells (2 V Each), A Combination Of Three Resistors, 10 Ohm, 20 Ohm And 30 Ohm, Attached Parallelly, With Plug Key And Ammeter (In Series).

Do Check:

CBSE CLASS XII Related Questions

  • 1.
    Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.


      • 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.
            Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

              • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (\hat{i} - \hat{j})\)
              • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (-\hat{i} - \hat{j})\)
              • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (\hat{i} - \hat{j})\)
              • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (-\hat{i} - \hat{j})\)

            • 4.
              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.


                • 5.

                  A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

                    • the induced current will flow in the anticlockwise direction.
                    • the induced current will flow in the clockwise direction.
                    • no induced current will flow in the solenoid.
                    • the magnet will fall with a constant velocity.

                  • 6.

                    An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

                      CBSE CLASS XII Previous Year Papers

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