As you know that milk has lactic acid which and acid is conductive as they have free H+ ions so hence milk is conductive

Milk Conductivity: Understanding the Components
Milk is a complex liquid that contains several components contributing to its conductivity. Here’s a detailed explanation of what makes milk conductive.
1. Water Content
- Milk is primarily composed of water, which is a good conductor of electricity due to its ability to dissolve ionic substances and facilitate the movement of charged particles.
2. Electrolytes
- Milk contains various electrolytes, including:
- Sodium: Helps maintain fluid balance and nerve function.
- Potassium: Crucial for muscle function and nerve signaling.
- Calcium: Important for bone health and also acts as an electrolyte.
- Chloride: Plays a role in maintaining osmotic pressure and pH balance.
These electrolytes break down into ions when dissolved in water, allowing electrical current to flow.
3. Proteins
- The proteins in milk, primarily casein and whey, can also contribute to conductivity.
- While proteins themselves are not good conductors, they can interact with ions and help stabilize them in solution.
4. Lactose
- Lactose, the sugar found in milk, has a minimal effect on conductivity but can influence the overall ionic environment when it interacts with water and other components.
5. pH Level
- The pH level of milk (usually around 6.5 to 6.7) allows for the presence of free ions, further enhancing its conductivity.
In summary, the combination of water, electrolytes, and proteins makes milk a conductive liquid, allowing it to carry electrical current, which is essential for various biological processes.