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Q. No. 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: Â Dielectrics in Capacitors |
 69%
Level 2: 60%+
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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 the figure below. 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. | \(\dfrac{ K_1 d_1+K_2 d_2}{d_1+d_2} \) | 2. | \( \dfrac{K_1 d_1+K_2 d_2}{K_1+K_2} \) |
| 3. | \( \dfrac{K_1 K_2\left(d_1+d_2\right)}{\left(K_1 d_2+K_2 d_1\right)} \quad \) | 4. | \( \dfrac{2 K_1 K_2}{K_1+K_2}\) |
Subtopic: Â Dielectrics in Capacitors |
 88%
Level 1: 80%+
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