A circuit is considered nonohmic when it does not obey Ohm's law, which states that current density is typically proportional to the electric field. This nonlinearity can occur in materials like diodes, where current may be zero below a certain threshold voltage. Additionally, nonohmic behavior can arise in materials with preferred conduction directions, such as certain crystals. Other examples include components like capacitors and resistors that can exhibit nonohmic characteristics under specific conditions, such as exceeding their rated voltage. Understanding these principles is crucial for analyzing various electronic components and their behaviors.