Difficulty: Easy
Correct Answer: Large residual induction (remanence) and large coercive field (high H_c)
Explanation:
Introduction / Context:Permanent magnets must retain magnetization in service and resist demagnetizing fields, temperature excursions, and mechanical shocks. The magnetic hysteresis loop provides a direct visual of the required properties: significant remanence and coercivity, and typically a large loop area.
Given Data / Assumptions:
Concept / Approach:Hard magnets are characterized by high coercive field H_c and high remanent induction B_r. The product (B H)_max reflects energy density available from the magnet and correlates with a “fat” loop. In contrast, soft magnetic materials (transformer steels) need low coercivity and narrow loops to minimize hysteresis loss.
Step-by-Step Solution:
Identify permanent magnet objective: resist demagnetization → need large H_c.Ensure strong field output → need large B_r (residual induction).Conclude that option emphasizing both large B_r and large H_c fits best.Verification / Alternative check:
Materials like Nd-Fe-B and Sm-Co exhibit high coercivity and remanence; their hysteresis loops confirm the property combination.Why Other Options Are Wrong:
Small remanence/coercivity suits soft magnets, not permanent ones.Small loop area minimizes core losses but implies easy demagnetization.High initial permeability is useful for soft cores, not the defining trait for permanent magnets.Common Pitfalls:
Confusing design goals of soft versus hard magnetic materials.Final Answer:
Large residual induction (remanence) and large coercive field (high H_c)
Discussion & Comments