A parallel plate capacitor has charge 
. A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is 
then the dielectric constant of the slab is .
Text Solution
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To find the dielectric constant K of the slab, we use the formula for the induced charge 
in a parallel plate capacitor:
Given:
Total charge 
Induced charge 
We substitute the values into the formula:
To solve for the dielectric constant K, simplify the equation:
Divide both sides by 
:
Rearrange to solve for 
:
Invert both sides to find K :
Therefore, the dielectric constant of the slab is 
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