This question, “Is each divine being of the Trinity omnipotent?” was asked in a Facebook discussion group, “Islam and Christianity Debate Group,” a kind soul made me a member of.
I placed the following answer to that very good question posed by a Muslim participant today:
God the Father is omnipotent:
Job 42:2. “I know that thou canst do every thing, and that no thought can be withholden from thee.”
In my new resource for Bible study I give the following cross references to other related verses in the Bible which shed light on the keywords “thou canst do every thing”: Genesis 17:1. 18:14. Psalm 115:3. 135:6. Isaiah 40:12. 43:13. Jeremiah 32:17, 27. Habakkuk 3:6. Matthew 15:27. 19:26. Mark 10:27. 14:36. Lk 1:37. 18:27. Acts 26:8. Contrast Titus 1:2. Revelation 19:6.
God the Son is omnipotent:
1 Corinthians 1:24. “But unto them which are called, both Jews and Greeks, Christ the power of God, and the wisdom of God.”
In my new resource for Bible study I give the following cross references to other related verses in the Bible which shed light on the keywords “the power of God”:
1 Corinthians 1:18. 4:20. 8:6. Exodus 38:7. Joshua 3:14. Job 36:5. Psalm 110:2. Isaiah 9:6. 53:1. 63:5. Matthew 8:16, 28-32. 14:25 note. Mt 28:18, 19. Mark 1:23-27. Luke 4:35-41. 7:12-15. 8:22-24 note, Lk 8:25, 33 note, Lk 8:41, 42, 49-55. John 1:3, 10. 2:19. 5:21, 25. 10:17, 18. 11:25. 12:38. 16:15. 17:2. Acts contrast Ac 8:10. Romans 1:4, 16. contrast Romans 15:19. 2 Corinthians 6:7. 12:9. Ephesians 1:19, 20. Philippians 3:20, 21. Colossians 1:16, 17. 1 Thessalonians 1:5. Hebrews 1:3. 2:14. 4:12. 1 Peter 1:5. 1 John 3:8. Revelation 1:8, 18.
God the Holy Spirit is omnipotent:
Acts 10:38. “How God anointed Jesus of Nazareth with the Holy Ghost and with power: who went about doing good, and healing all that were oppressed of the devil; for God was with him.”
In my new resource for Bible study I give the following cross references to other related verses in the Bible which shed light on the keywords “and with power”:
God the Holy Spirit is omnipotent (Matthew 28:19 note). The omnipotence of the Holy Spirit is also implied by His work in creation (Genesis 1:2. Job 26:13. Psalm 104:30). Acts 1:8. Luke 1:35. 6:19. Romans 8:11. 15:13, 19. 1 Thessalonians 1:5. 2 Timothy 1:7. 1 Peter 3:18.
Since the Bible is not written in the form of a systematic theology, one of the best ways to learn what it teaches is to consult a full source of cross references. Cross references show where a particular theme or doctrine is mentioned elsewhere in the Bible. That is why I have taken the time to share these cross references for they are not available elsewhere in this completeness.