What is the dimensional formula of magnetic flux/electric flux?

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Jasmine Grover

Content Strategy Manager | Updated On - Nov 11, 2024

Ques: What is the dimensional formula of magnetic flux/electric flux?

Ans: In physics, the dimensional formula of magnetic flux is given by:

Magnetic Flux = [M] [L]2 [T]-2 [I]-1

Where:

also, the dimensional formula of electric flux is given by:

[Electric Flux] = [M] [L]3 [T]-3 [I]-1

Therefore, the dimensional formula of magnetic flux to electric flux can be obtained by dividing the dimensional formula of magnetic flux by the dimensional formula of electric flux. 

Thus, the dimensional formula of Magnetic flux/Electric flux = [M] [L]2 [T]-2 [I]-1/[M] [L]3 [T]-3 [I]-1 = [L]-1 [T]

Important Facts about Electric Flux & Magnetic Flux

  • Magnetic flux is a physical quantity which can be defined as a measure of the strength of a magnetic field passing through a given area. It is used to describe the behaviour of magnetic fields in different materials.
  • Electric flux is a measure of the strength of an electric field passing through a given area. It is calculated by taking the dot product of the electric field vector and the area vector.
  • The ratio of magnetic flux to electric flux is measured in inverse length and time.
  • The ratio of electric flux to magnetic flux is given by Electric flux/magnetic flux = [M] [L]3 [T]-3 [I]-1/[M] [L]2 [T]-2 [I]-1
  • Dimensional of electric flux to magnetic flux is LT−1

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CBSE CLASS XII Related Questions

1.
(a) A circular coil of 30 turns and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 60° with the normal of the coil. Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning. 
(b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area? (All other particulars are also unaltered.)

      2.
      A closely wound solenoid of \(2000 \) turns and area of cross-section \(1.6 × 10^{-4}\  m^2\), carrying a current of \(4.0 \ A\), is suspended through its centre allowing it to turn in a horizontal plane. 
      (a) What is the magnetic moment associated with the solenoid?
      (b) What is the force and torque on the solenoid if a uniform horizontal magnetic field of \(7.5 × 10^{-2}\  T\) is set up at an angle of \(30º\) with the axis of the solenoid?

          3.
          A circular disc is rotating about its own axis. An external opposing torque 0.02 Nm is applied on the disc by which it comes rest in 5 seconds. The initial angular momentum of disc is

            • $0.1\,kgm^2s^{-1}$
            • $0.04\,kgm^2s^{-1}$
            • $0.025\,kgm^2s^{-1}$
            • $0.01\,kgm^2s^{-1}$

            4.

            A tank is filled with water to a height of 12.5cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?

                5.
                A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field ?
                1. inside the sphere
                2. just outside the sphere
                3. at a point 18 cm from the centre of the sphere?

                    6.
                    Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the to charges is the electric potential zero? Take the potential at infinity to be zero.

                        CBSE CLASS XII Previous Year Papers

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