Question

In the above question, what will be the value of permeability and susceptibility in C.G.S unit?

a) Magnetic induction = 5000 Gauss, Intensity of magnetization = 5000 A/m, Permeability = 4π × 10^-3 G

b) Magnetic induction = 2000 Gauss, Intensity of magnetization = 2000 A/m, Permeability = 2π × 10^-3 G

c) Magnetic induction = 2500 Gauss, Intensity of magnetization = 2500 A/m, Permeability = 2π × 10^-2 G

d) Magnetic induction = 1500 Gauss, Intensity of magnetization = 1500 A/m, Permeability = 4π × 10^-2 G

Answer 1

Using the given values of magnetic induction and intensity of magnetization, the permeability (µ) and susceptibility (χ) in the C.G.S unit can be calculated by the respective formulae µ = B / I and χ = (µ / µ₀) - 1. Upon conversion of units and calculation, we can determine these values for the specified conditions.

Step-by-step explanation:

To determine the permeability (µ) and susceptibility (χ) in the C.G.S unit, we can use the relations between magnetic induction (B), intensity of magnetization (I), and permeability (µ). Magnetic induction B is expressed in Gauss, and intensity of magnetization I is given in A/m, which we need to convert to the C.G.S unit of Oersted (Oe) since 1 A/m = 4π x 10−3 Oe. Given information in the choice (c), B = 2500 G and I = 2500 A/m which equals I = 2500 x 4π x 10−3 Oe.

Using the relation B = µ(H + I), where H is the magnetic field, and assuming H = 0 for simplification purposes (since no external magnetizing field is given), we get B = µI. By rearranging this for µ, we obtain µ = B / I. Substituting B = 2500 G and I = 2500 x 4π x 10−3 Oe into the equation, we can calculate µ.

Additionally, magnetic susceptibility χ is related to permeability and the permeability of free space (µ₀ = 1 in C.G.S units) by the relation µ = µ₀(1 + χ). Thus, we can calculate χ by rearranging this equation to χ = (µ / µ₀) - 1.