Electric field between electrodes of half-filled spherical capacitor

AI Thread Summary
The discussion revolves around calculating the electric field strength between the electrodes of a half-filled spherical capacitor with a uniform isotropic dielectric. The derived formula for the electric field strength is E = q/2∏εo(ε + 1)r², where ε is the permittivity of the dielectric. Participants explore the potential difference using the equation V1 - V2 = -∫E.ds, noting challenges in applying it correctly. The conversation highlights the importance of considering the electric field in scenarios both with and without the dielectric, as well as the analogy of capacitors in series. The use of Gauss's law is suggested as a method to derive the solution accurately.
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Homework Statement



Half the space between two concentric electrodes of a spherical capacitor is filled with uniform isotropic dielectric with permittivity ε. The charge of the capacitor is q. Find the magnitude of electric field strength between the electrodes as a function of distance r from center of electrode.

Answer → E = q/2∏εo(ε + 1)r2

Homework Equations



V1 - V2 = -∫E.ds

The Attempt at a Solution



I tried to find the potential diference between electrod using above equation but its not working
 
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