Two flat surfaces are exposed to a uniform, horizontal magnetic field of magnitude 0.50 T. When viewed edge-on, the first surface is tilted at an angle of 14° from the horizontal, and a net magnetic flux of 8.70x10^-3 Wb passes through it. The same net magnetic flux passes through the second surface.

To find the area of the first and second surface, we can use the formula for magnetic flux:

Φ = B * A * cosθ

where:
Φ is the magnetic flux,
B is the magnetic field magnitude,
A is the area, and
θ is the angle between the magnetic field and the area vector.

Let's calculate the area of the first surface:

We know that:
Φ = 8.70x10^-3 Wb (given)
B = 0.50 T (given)
θ = 14° (given)

Rearranging the formula, we get:
A = Φ / (B * cosθ)

Substituting the given values:
A = 8.70x10^-3 Wb / (0.50 T * cos14°)

Using a scientific calculator, calculate cos14° and substitute the value in the equation to find A.

Now, after calculating the area of the first surface, we are given that the same net magnetic flux passes through the second surface. This implies that the magnetic flux (Φ) passing through both surfaces is the same. Therefore, the area of the second surface will also be equal to the area of the first surface.