A persuasive witness makes effective use of voice and gestures.
Studies verify experts are most believable when they:
are perceived as calm and composed in their presenting style without anxious verbal and nonverbal cues;
speak in language the jury understands--without resorting to hypercorrect and less personal manners of speech (eg., "the client"); and,
testify in the way that best presents the story--including voice modulation, facial expressions, eye contact, and gestures appropriate to the narrative--and in a manner that conveys confidence and credibility.
See Robert J. Cramer MA, Stanley L. Brodsky PhD, and Jamie DeCoster PhD, "Expert Witness Confidence and Juror Personality: Their Impact on Credibility and Persuasion in the Courtroom" in J Am Acad Psychiatry Law, 37:63-74 (2009)
Make sure your testimony has its greatest persuasive impact by:
holding the interest of your audience--the jury or the court--by organizing it so the listener can follow easily;
speaking the testimony with a voice pleasing to the ear of the listener--the jury or court; and,
conveying the testimony clearly and simply--while ideally connecting with the theme of the case.