A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is $$A\ metr{{e}^{2}}$$and the separation is$$t\ metre$$. The dielectric constants are $${{k}_{1}}$$ and $${{k}_{2}}$$ respectively. Its capacitance in farad will be [MNR 1985; DCE 1999; AIIMS 2001]

Question

A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is $$A\ metr{{e}^{2}}$$and the separation is$$t\ metre$$. The dielectric constants are $${{k}_{1}}$$ and $${{k}_{2}}$$ respectively. Its capacitance in farad will be                                                          [MNR 1985; DCE 1999; AIIMS 2001]

TuteeHUB · Accepted Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

1.	A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is \[A\ metr{{e}^{2}}\]and the separation is\[t\ metre\]. The dielectric constants are \[{{k}_{1}}\] and \[{{k}_{2}}\] respectively. Its capacitance in farad will be [MNR 1985; DCE 1999; AIIMS 2001]
A.	\[\frac{{{\varepsilon }_{0}}A}{t}({{k}_{1}}+{{k}_{2}})\]
B.	\[\frac{{{\varepsilon }_{0}}A}{t}.\frac{{{k}_{1}}+{{k}_{2}}}{2}\]
C.	\[\frac{2{{\varepsilon }_{0}}A}{t}({{k}_{1}}+{{k}_{2}})\]
D.	\[\frac{{{\varepsilon }_{0}}A}{t}.\frac{{{k}_{1}}-{{k}_{2}}}{2}\]
Answer» C. \[\frac{2{{\varepsilon }_{0}}A}{t}({{k}_{1}}+{{k}_{2}})\]

A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is \[A\ metr{{e}^{2}}\]and the separation is\[t\ metre\]. The dielectric constants are \[{{k}_{1}}\] and \[{{k}_{2}}\] respectively. Its capacitance in farad will be [MNR 1985; DCE 1999; AIIMS 2001]

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