1. If an air core inductor has an inductance of 2uH, what will the inductance become if an iron core is inserted? Assume that the iron core has a relative permeability (u) of 1000.2. A capacitor has a capacitance of 0.1uF with air as the dielectric. If the dielectric material is changed from air to a ceramic material with a dielectric constant of 600, what is the new capacitance? (Note: neither air nor ceramic capacitors this large are available).
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1) this question cannot be answered since the change in inductance depends on the shape and size of the core which is inserted, and also on the extent to which it completes the magnetic circuit outside the coil. It is possible that your teacher wants you to show an awareness of this equation for the inductance of a long solenoid of length L and cross-sectional area A wound uniformly with n turns : L mu*N^2*A/L . In this equation mu is the permeability of the material IN WHICH THE COIL IS IMMERSED. This concept is easy to grasp in the case of a solenoid immersed in air, but is problematic with any other medium, particularly a solid one such as iron. It implies a block of iron of infinite extent with the solenoid somehow embedded in the centre so that the magnetic material completely fills the space inside the coil and also completely surrounds it. This is not quite the same idea as the insertion of a core. However, if we assume that the former idea is what your teacher has in mind, we can say that the inductance will rise by a factor equal to the relative permeability of the material of the infinite block - namely 1000, giving L 2mH. Note that relative permeability is a property of a material (such as iron), not of a sample of a material such as a core. This makes this statement inappropriate Assume that the iron core has a relative permeability (u) of 1000. It should read Assume that the iron of which the core is made has a relative permeability (u) of 1000. 2) The capacitance will rise by a factor equal to the dielectric constant (or relative permittivity), namely 600, giving a new capacitance of 60uF
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