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 the figure. This arrangement can be thought as a dielectric slab of thickness \(d=(d_1+d_2),\) and effective dielectric constant \(K.\) The value of \(K\) is:
        

1. \(\dfrac{K_1d_1+K_2d_2}{d_1+d_2}\) 2. \(\dfrac{K_1d_1+K_2d_2}{K_1+K_2}\)
3. \(\dfrac{K_1K_2(d_1+d_2)}{K_1d_2+K_2d_1}\) 4. \(\dfrac{2K_1K_2}{K_1+K_2}\)
Subtopic:  Dielectrics in Capacitors |
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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 Fig. 2.3. This arrangement can be thought as a dielectric slab of thickness \(d=(d_1+d_2)\) and effective dielectric constant k. The k is

1. \(\frac{k_1 d_1+k_2 d_2}{d_1+d_2} \)
2. \( \frac{k_1 d_1+k_2 d_2}{k_1+k_2} \)
3. \( \frac{k_1 k_2\left(d_1+d_2\right)}{\left(k_1 d_1+k_2 d_2\right)} \quad \)
4. \( \frac{2 k_1 k_2}{k_1+k_2}\)
Subtopic:  Dielectrics in Capacitors |
From NCERT
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