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Statement of a problem № 729

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Initially the space between the plates of the capacitor is filled with air, and the field strength in the gap is equal to E0. Then half the gap is filled with uniform isotropic dielectric with permittivity ε as shown in Fig. 3.12. Find the moduli of the vectors E and D in both parts of the gap (1 and 2) if the introduction of the dielectric (a) does not change the voltage across the plates; (b) leaves the charges at the plates constant.

Solution:
Initially the space between the plates of the capacitor is filled with air, and

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