The Strength card symbolizes courage in the face of something that looks bigger and stronger than us. It's the inner power that conquers fear, it is self-discipline, effort and perseverance. The Emperor is one of the masculine archetypes in Tarot and he represents control, structures, stability, power and discipline. The Emperor describes someone with great power and authority, someone who is influential, logical and practical. The combination of the Strength and the Emperor indicates great strength, perseverace and stability.
To understand the elemental relationships between the cards, we should always take into account their actual meaning. The elements of the cards are Fire (Strength) and Fire (Emperor). The two cards are friendly and support each other, as they both have the same vibration and they suggest stability, power and authority. If however, there are indications of conflicts and contrasts by other cards within the same spread, the mixture of these two could lead to excess, arrogance and despotism.