A parallel plate condenser has a capacitance \(50~\mu\text{F}\) in air and \(110~\mu\text{F}\) when immersed in an oil. The dielectric constant *\(k\)* of the oil is:** **

1. \(0.45\)

2. \(0.55\)

3. \(1.10\)

4. \(2.20\)

Subtopic: Dielectrics in Capacitors |

79%

From NCERT

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Two parallel metal plates having charges +Q and –Q, face each other at a certain distance between them. If the plates are now dipped in the kerosene oil tank, the electric field between the plates will:

1. | increase. | 2. | decrease. |

3. | remain the same. | 4. | become zero. |

Subtopic: Dielectrics in Capacitors |

77%

From NCERT

AIPMT - 2010

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The capacitance of a parallel plate capacitor is C. If a dielectric slab of thickness equal to one-fourth of the plate separation and dielectric constant K is inserted between the plates, then the new capacitance will be:

1. | \(KC \over 2(K+1)\) | 2. | \(2KC \over K+1\) |

3. | \(5KC \over 4K+1\) | 4. | \(4KC \over 3K+1\) |

Subtopic: Dielectrics in Capacitors |

77%

From NCERT

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Two thin dielectric slabs of dielectric constants K_{1}&K_{2} (${K}_{1}<{K}_{2}$) are inserted between plates of a parallel capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by:

1. | 2. | ||

3. | 4. |

Subtopic: Dielectrics in Capacitors |

77%

From NCERT

NEET - 2014

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A parallel plate capacitor with cross-sectional area \(A\) and separation \(d\) has air between the plates. An insulating slab of the same area but the thickness of \(\frac{d}{2}\) is inserted between the plates as shown in the figure having a dielectric constant, \(K=4\). The ratio of new capacitance to its original capacitance will be:

1. | \(2:1\) | 2. | \(8:5\) |

3. | \(6:5\) | 4. | \(4:1\) |

Subtopic: Dielectrics in Capacitors |

74%

From NCERT

NEET - 2020

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A parallel plate capacitor has capacitance *\(C\)*. If it is equally filled with parallel layers of materials of dielectric constants \(K_1\) and \(K_2\), its capacity becomes \(C_1\). The ratio of \(C_1\) to *\(C\)* is:

1. | \(K_1 + K_2\) | 2. | \(\frac{K_{1} K_{2}}{K_{1}-K_{2}}\) |

3. | \(\frac{K_{1}+K_{2}}{K_{1} K_{2}}\) | 4. | \(\frac{2 K_{1} K_{2}}{K_{1}+K_{2}}\) |

Subtopic: Dielectrics in Capacitors |

69%

From NCERT

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The dielectric constant of pure water is 81. Its permittivity will be: (in MKS units)

1. $1.02\times {10}^{-13}$

2. $8.86\times {10}^{-12}$

3. $7.17\times {10}^{-10}$

4. $7.8\times {10}^{-10}$

Subtopic: Dielectrics in Capacitors |

66%

From NCERT

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The insulation property of air breaks down at $E$ $=$ $3$ $\times $ ${10}^{6}$ V/m. The maximum charge that can be given to a sphere of diameter 5 m is approximately:

1. $2$ $\times {10}^{-5}$ $C$

2. $2$ $\times {10}^{-4}$ $C$

3. $2$ $\times {10}^{-3}$ $C$

4. $3$ $\times {10}^{-3}C$

Subtopic: Dielectrics in Capacitors |

65%

From NCERT

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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. This arrangement can be thought of as a dielectric slab of thickness d = d_{1} + d_{2} and effective dielectric constant K. K is:

1. | \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~d}_{1}+\mathrm{d}_{1}}\) | 2. | \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\) |

3. | \(\frac{\mathrm{K}_{1} \mathrm{~K}_{2}\left(\mathrm{~d}_{1}+\mathrm{d}_{2}\right)}{\mathrm{K}_{1} \mathrm{~d}_{2}+\mathrm{K}_{2} \mathrm{~d}_{1}}\) | 4. | \(\frac{2 \mathrm{~K}_{1} \mathrm{~K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\) |

Subtopic: Dielectrics in Capacitors |

67%

From NCERT

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A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is *A *metre^{2} and the separation is *t* metre. The dielectric constants are *k*_{1} and *k*_{2} respectively. Its capacitance in farad will be:

** **

1. $\frac{{\epsilon}_{0}A}{t}({k}_{1}+{k}_{2})$

2. $\frac{{\epsilon}_{0}A}{t}.\frac{{k}_{1}+{k}_{2}}{2}$

3. $\frac{2{\epsilon}_{0}A}{t}({k}_{1}+{k}_{2})$

4. $\frac{{\epsilon}_{0}A}{t}.\frac{{k}_{1}-{k}_{2}}{2}$

Subtopic: Dielectrics in Capacitors |

61%

From NCERT

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