A more thorough explanation:

Definition: Magistratic is an adjective that means the same as magisterial. Magisterial means relating to the character, office, powers, or duties of a magistrate.

Examples:

• The judge's magistratic demeanor commanded respect in the courtroom.
• The mayor's magistratic authority allowed him to make important decisions for the city.

These examples show how magistratic or magisterial can be used to describe someone who holds a position of power and authority, such as a judge or a mayor. It emphasizes their importance and the respect they command in their roles as magistrates.