Divine impassibility and emotions

In his divine essence, God cannot be harmed or overwhelmed by emotions.

Does God experience emotions?

Yes.

John 3:

16 For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life.

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1 John 4:

8 Anyone who does not love does not know God, because God is love.

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Exodus 20:

5 You shall not bow down to them or serve them, for I the LORD your God am a jealous God.

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Psalm 7:

11 God is a righteous judge, and a God who feels indignation every day.

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Ephesians 4:

30 Do not grieve the Holy Spirit of God, by whom you were sealed for the day of redemption.

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Psalm 147:

11 The LORD takes pleasure in those who fear him, in those who hope in his steadfast love.

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Can God experience genuine emotions if God already knows how everything will unfold?

Our God is a relational God. He is our Father. He interacts with his children and experiences genuine emotions with us. However, divine emotions are not identical to our creaturely emotions. God is divinely impassive because he knows everything. His emotions are perfect. Human passions are not.