At the peak of his defense, Judah stands before the Egyptian ruler and reveals the impossible emotional and moral trap he faces. He offers to surrender his freedom and accept a life of permanent slavery, provided he does not have to return home without his youngest brother [רמב״ן, ביאור יש״ר]. This desperate choice is not random; it represents the closing of a circle and the ultimate punishment for the sale of Joseph. Because Judah was the one who originally advised his brothers to sell Joseph into slavery, he is now forced to offer himself as a permanent slave in place of Benjamin, Joseph's full brother [ביאור יש״ר]. By speaking with complete transparency, Judah ensures the ruler will not suspect him of having a hidden agenda. He wants to prove he is not offering himself merely because he is stronger than the boy and might easily escape later [רמב״ן].
Judah's intense distress is rooted primarily in the personal guarantee he made to his father. Failing to uphold this promise carries the heavy spiritual consequence of being completely cut off and banished [צפנת פענח]. Yet, a natural question arises regarding why Judah is so terrified to simply explain the reality of the situation to his father. If he were to return and explain that he was forced to leave Benjamin behind and had no power to save him, Jacob certainly would not be cruel. Jacob would likely release Judah from his vow to avoid the tragedy of losing two sons at the same time [אור החיים]. Furthermore, Judah realizes that no matter what happens, he cannot fulfill his vow perfectly. He swore to personally bring the boy back. Even if he stays in Egypt to secure Benjamin's release, he technically breaks his personal agreement with his father because he will not be the one returning with him [העמק דבר].
Recognizing the impossibility of his situation, Judah shifts to his most profoundly human argument. He is fully aware that Jacob will suffer terrible grief if Judah remains a slave in Egypt and never returns. However, he acknowledges the unique and special love his father holds for Benjamin [ספורנו, העמק דבר, ביאור שטיינזלץ]. This understanding leads directly to his plea to take the boy's place [שד״ל]. Judah explains that his greatest fear is witnessing the tragedy unfold with his own eyes. Even if he cannot completely prevent his father's sorrow, he would rather remain a slave in Egypt than be present at home. He is willing to sacrifice his freedom simply to be spared the unbearable agony of watching his father weep and mourn until the day he dies [רמב״ן, ספורנו, אור החיים, העמק דבר].