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Radii of the inner and outer concentric conducting spheres of a spherical capacitor are a and b. One half of the space between the spheres is filled with a linear isotropic dielectric of permittivity $$ \epsilon_1$$ and the other half with another linear isotropic dielectric of permittivity $$\epsilon_2$$ as shown in the figure. The inner and the outer spheres are given charge +q and -q respectively. Find expressions for the electric fields in both the dielectrics and potential difference between the spheres.

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