How is Voltage related to Resistance?

The relationship between voltage and resistance is represented by Ohm's Law. It usually means that the flowing current passing via a circuit is directly proportional to the applied voltage and also inversely proportional to the resistance, with a condition that the temperature remains constant.

The relation between voltage and resistance can be expressed as:

Voltage

  1. Voltage is also referred to as Potential Difference.
  2. Potential Difference can be expressed as the work done in obtaining a unit positive charge from one point to another point in the same conductor.
  3. Volt (V) is the unit of potential difference.

Resistance

  1. When current passes or flows through a circuit, it undergoes a given resistive force.
  2. The parameter that usually represents the magnitude of this resistive force  is often called resistance.
  3. Ohm (Ω) is the unit of resistance.

What is Ohm's Law?

As per Ohm’s Law, the current that flows through a circuit is directly proportional to the voltage. Assume that:

  • V = Voltage
  • I = Current
  • R = Constant of Proportionality

Therefore,

V∝I

or, V = IR

Thus, this is how the relation between voltage and resistance can be expressed.


Read More Related Questions:

  1. How many 176 Ω resistors (in parallel) are required to carry 5 A on a 220 V line?
  2. Three identical cells, each of 4 V and internal resistance r, are connected in series to a 6 ohm resistor. If the current flowing in the circuit is 2 A. The internal resistance of each cell is?
  3. n identical light bulbs, each designed to draw P power from a certain voltage supply, are joined in series across that supply. The total power which they will draw is?
  4. Two bulbs are rated (P1, V) and (P2, V). If they are connected (i) in series and (ii) in parallel across a supply V Find the power dissipated in the two combinations in terms of P1 and P2.
  5. Why is the series arrangement not used for domestic circuits?
  6. Define: 1 volt, Potential difference
  7. Is resistance constant in Ohm's law?
  8. Find the current through a resistance 2 ohm if the voltage across the resistance is 6 V.
  9. What are the applications of ohm's law used in daily life?
  10. Why Do We Use Ohm's Law?
  11. Obtain the equation J = σE of Ohm's law on the basis of drift velocity
  12. What Is Effective Resistance?
  13. A small bulb has a resistance of 2 ohms when it is cold. It draws 0.4-ampere current from a source of4V and then starts glowing. Calculate the resistance when it is glowing

Also Read:

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.
        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.
            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 \(-x\)

            • 4.

              A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

                • 80 Wb
                • 16 Wb
                • \(8 \times 10^{-2}\) Wb
                • \(8 \times 10^{-3}\) Wb

              • 5.

                A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.


                  • 6.

                    Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.

                      CBSE CLASS XII Previous Year Papers

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