A parallel plate capacitor of area A, plate separation d and capacitance C is filled with…
Physics · Class 12 · CBSE — Electrostatic Potential & Capacitance
A parallel plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants \(\kappa_1\) , \(\kappa_2\) , \(\kappa_3\) and \(\kappa_4\) as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant \(\kappa\) is given by:
- \(\frac{2}{\kappa }=\frac{3}{\kappa _{1}+\kappa _{2}+\kappa _{3}}+\frac{1}{\kappa _{4}}\)
- \(\frac{1}{\kappa}=\frac{1}{\kappa_{1}}+\frac{1}{\kappa_{2}}+\frac{1}{\kappa_{3}}+\frac{3}{2 \kappa_{4}}\)
- \(\kappa=\kappa_{1}+\kappa_{2}+\kappa_{3}+3 \kappa_{4}\)
- \(\kappa=\frac{2}{3}\left(\kappa_{1}+\kappa_{2}+\kappa_{3}\right)+2 \kappa_{4}\)
Answer
(A) 2 = 3 _ 1 + _ 2 + _ 3 + 1 _ 4
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Charges + q and - q are placed at points A and B respectively which are a distance 2 L apart, C is the…
- 0.2 F capacitor is charged to 600 V by a battery, on removing the battery, it is connected with another…
- In the given figure, charge +Q is placed at the centre of a dotted circle. Work done in taking another charge…
- In the capacitor of capacitance C, charge Q and energy W is stored. If charge is increased upto 2 Q, the…
- Two spherical conductors A and B of radii a and b (b> a) are placed concentrically in the air. The two are…
- The electrostatic force between the metal plates of an isolated parallel capacitor C having a charge Q and…
- In a region, the potential is represented by V(x, y, z) = 6x - 8xy - 8y + 6yz, where V is N volts and x, y, z…
- The dimension of 1 2 _ 0 E^ 2 where _ 0 is the permittivity of free space and E is the electric field, is
More Electrostatic Potential & Capacitance questions · Browse all practice questions