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The relative permeability is represented...

The relative permeability is represented by `mu_(r)` and susceptibility is denoted by `chi` for a magnetic substance then for a paramagnetic substance.

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To solve the question regarding the relationship between relative permeability (μ_r) and susceptibility (χ) for a paramagnetic substance, we can follow these steps: ### Step 1: Understanding Definitions - **Relative Permeability (μ_r)**: It is the ratio of the permeability of a material to the permeability of free space (vacuum). It indicates how much a material can be magnetized in response to an applied magnetic field. - **Magnetic Susceptibility (χ)**: It is a dimensionless quantity that indicates the degree of magnetization of a material in response to an applied magnetic field. ### Step 2: Relationship Between Susceptibility and Relative Permeability For paramagnetic materials, the relationship between susceptibility (χ) and relative permeability (μ_r) is given by the equation: \[ \chi = μ_r - 1 \] ### Step 3: Analyzing the Conditions for Paramagnetic Substances - For paramagnetic substances, the susceptibility (χ) is positive, which means: \[ χ > 0 \] From the equation \( χ = μ_r - 1 \), if χ is greater than zero, we can deduce: \[ μ_r - 1 > 0 \] This implies: \[ μ_r > 1 \] ### Step 4: Conclusion Thus, for a paramagnetic substance: - The susceptibility (χ) is greater than zero (χ > 0). - The relative permeability (μ_r) is greater than one (μ_r > 1). ### Summary For a paramagnetic substance: - **Susceptibility (χ)**: \( χ > 0 \) - **Relative Permeability (μ_r)**: \( μ_r > 1 \)
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