Parallel-Plate Capacitor Separation

[beeteep]

Homework Statement

A parallel-plate capacitor has a plate area of 18.5 cm² and a capacitance of 4.8 pF
What is the plate separation? The value of the permittivity of a vacuum is 8.8542 x 10^-12 C²/N⋅m²

Homework Equations

C = κε₀ (A/d)

The Attempt at a Solution

4.8x10^-12 = ((8.8542x10^-12)(1)(.185)) / d

d = .341255625 m

 

[TSny]

The conversion from cm² to m² is not correct.
1 cm = .01 m, but 1 cm² ≠ .01m².

 

[beeteep]

I didn't know there was a difference between converting between cm² and m². I'll need to do a little more digging on how to properly convert between those, but you are correct. That was my issue. Thanks for your help!