It means that the power of Christ controls you. In other translations, the word “controls” is used rather than “compels.”
The line "The power of Christ compels you" was heard in the 1973 movie "The Exorcist".
In The Exorcist the film’s tragic hero, Father Karras (Jason Miller), enlists Max von Sydow’s Father Merrin to exorcise a troubled girl who has done unspeakable things with a crucifix. In doing so, these priests face down gallons of pea soup and incomprehensible darkness.
The movie wqas directed by William Friedkin and starred Ellen Burstyn, Max von Sydow and Linda Blair.
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