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A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness \( d_{1} \) and dielectric constant \( K_{1} \) and the other has thickness \( d_{2} \) and dielectric constant \( K_{2} \) as shown in figure. This arrangement can be thought as a dielectric slab of thickness \( d\left(=d_{1}+d_{2}\right) \) and effective dielectric constant \( K \). The \( K \) is
(a) \( \frac{K_{1} d_{1}+K_{2} d_{2}}{d_{1}+d_{2}} \)
(b) \( \frac{K_{1} d_{1}+K_{2} d_{2}}{K_{1}+K_{2}} \)
(c) \( \frac{K_{1} K_{2}\left(d_{1}+d_{2}\right)}{\left(K_{1} d_{2}+K_{2} d_{1}\right)} \)
(d) \( \frac{2 K_{1} K_{2}}{K_{1}+K_{2}} \)
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