A parallel plate capacitor with plate area `8xx10^(-3)m^(2)`, and plate separation 0.1 cm is connected to a battery of 100 V. Calculate the dielectric constant of the medium filled completely between both the plates if it can store a charge equal to `1.5xx10^(-7)C`.

Explanation

To solve the problem, we need to calculate the dielectric constant (k) of a parallel plate capacitor given the following parameters:

- Plate area (A) = \(8 \times 10^{-3} \, m^2\)
- Plate separation (d) = \(0.1 \, cm = 0.1 \times 10^{-2} \, m\)
- Voltage (V) = \(100 \, V\)
- Charge stored (Q) = \(1.5 \times 10^{-7} \, C\)

### Step-by-Step Solution:
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