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#unstable equilibrium

2 public questions tagged with this topic.

A magnetic dipole in a uniform field is in unstable equilibrium when:

**Magnetic dipole in uniform field** experiences torque τ = m B sinθ and potential energy U = -m·B = -m B cosθ, minimum -mB when aligned (θ=0°), maximum +mB at anti-alignment (θ=180°). Work done rotating from θ₁ to θ₂ equals ΔU = mB(cosθ₁ - cosθ₂). The potential energy U = -m B cosθ is maximized when θ = 180° (anti-parallel), making it an unstable equilibrium position. Any small perturbation causes the dipole to rotate toward the stable position ( θ = 0° ), as the energy decreases in that direction. Substituting values gives It is anti-parallel to the field, which matches expected magnitude fo

Ref: NCERT > Physics Book > Magnetism and Matter > Torque on Magnetic Dipole and Potential Energy

Which ecological factor leads to unstable equilibrium?

Alternative prey with uncorrelated abundance do not generally lead to unstable equilibrium. They can buffer a generalist predator’s food supply because one prey may be abundant when another is scarce, and predator switching toward common prey can stabilize dynamics. They can also generate apparent competition or sustain predators that overexploit a rare prey, so the outcome depends on functional responses, switching, and interaction strengths; uncorrelated abundance alone has no fixed destabilizing sign. Predator saturation, by contrast, is a recognized destabilizing mechanism in many predator

Ref: Ecology: Concepts and Applications, Molles, 9th Ed., Ch. 14