B

Step 1: Understand the definition of static friction. The maximum static frictional force (max) can be described by the equation:
$$ f_{max} = \\mu_s imes N $$
where \( \mu_s \) is the coefficient of static friction and \( N \) is the normal force acting on the object.
Step 2: Analyze the relationship with the contact area. The maximum static friction does not depend on the area of contact under ideal conditions, as both the coefficient of static friction and the normal force are independent of the area. Therefore, options involving direct dependence on area are incorrect.
Step 3: Conclude with the correct option. Hence, the maximum static frictional force is independent of the area of the surface in contact.
Therefore, the correct answer is B.