- 1(current)
Q. No.
1. \( 2~\mu\text{F}\)
2. \( 32~\mu\text{F}\)
3. \( 6~\mu\text{F}\)
4. \( 8~\mu\text{F}\)
| 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. | \( \dfrac{2 K_1 K_2}{K_1+K_2}\) |
1. \(\frac{\varepsilon_0A}{d}(K_1+K_2)\)
2. \(\frac{\varepsilon_0A}{2d}(K_1+K_2)\)
3. \(\frac{\varepsilon_0A}{d}2(K_1+K_2)\)
4. \(\frac{\varepsilon_0A}{2d}2(K_1-K_2)\)
1. \(\dfrac{\varepsilon_0A}{d}\)
2. \(\dfrac{K\varepsilon_0A}{d}\)
3. \(\dfrac{\varepsilon_0A}{K~d}\)
4. \(\dfrac{(K+1)\varepsilon_0A}{d}\)
| 1. | \(\dfrac{4KC_0}{3+K}\) | 2. | \(\dfrac{3KC_0}{3+K}\) |
| 3. | \(\dfrac{3+K}{4KC_0}\) | 4. | \(\dfrac{K}{4+K}\) |
A parallel plate capacitor with air between the plates has a capacitance of \(8~p\text{F}.\). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant \(6?\)
1. \(48~p\text{F}\)
2. \(8~p\text{F}\)
3. \(96~p\text{F}\)
4. \(60~p\text{F}\)
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| Assertion (A): | In the absence of an externally applied electric field, the displacement per unit volume of a polar dielectric material is always zero. |
| Reason (R): | In polar dielectrics, each molecule has a permanent dipole moment, but these dipoles are randomly oriented when there is no external electric field. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Two thin dielectric slabs of dielectric constants \(K_1\) and \(K_2\) \((K_1<K_2)\) are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field \('E'\) between the plates with distance \('d'\) as measured from the plate \(P\) is correctly shown by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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A parallel plate condenser has a capacitance 50 μF in air and 110 μF when immersed in an oil. The dielectric constant ‘k’ of the oil is
1. 0.45
2. 0.55
3. 1.10
4. 2.20
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- 1(current)
Q. No.
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