A 5A fuse can potentially melt when connected to 10 bulbs in parallel, as incandescent bulbs draw significantly higher current at startup, often around 10 times their rated current. Fuses have specific time-to-melt characteristics, meaning they can handle a rated current for a limited time before blowing. It's advised to use a fuse with a higher rating, like a 13A slow-blow fuse, for such applications to accommodate inrush currents. The actual current drawn by the bulbs can vary, making it difficult to predict exactly when the fuse will blow. Ultimately, it's crucial to consider the fuse's specifications and the load characteristics to ensure safety and functionality.