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Instructions

For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer.

Question 11

Three identical capacitors $$𝐢_{1}, 𝐢_{2}$$ and $$𝐢_{3}$$ have a capacitance of 1.0 $$\mu$$𝐹 each and they are uncharged initially. They are connected in a circuit as shown in the figure and $$𝐢_{1}$$ is then filled completely with a dielectric material of relative permittivity $$\epsilon_{r}$$.The cell electromotive force (emf) $$𝑉_{0}$$ = 8 𝑉. First the switch $$𝑆_{1}$$ is closed while the switch $$𝑆_{2}$$ is kept open. When the capacitor $$𝐢_{3}$$ is fully charged, $$𝑆_{1}$$ is opened and $$𝑆_{2}$$ is closed simultaneously. When all theΒ capacitors reach equilibrium, the charge on $$𝐢_{3}$$ is found to be 5 $$\mu$$𝐢. The value of $$\epsilon_{r}$$ =____________.


Correct Answer: e

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