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Two nonconducting plates A and B of radii 2R and 4R, respectively, are kept at distance x and 2x from the point charge q. A surface cutout of a nonconducting shell A is kept such that is center coincides with the point charge. Each plate and spherical surface carries surface charge density sigma. If phi_1 is flux through surface of (B) due to electric field to (A) and phi_2 is the flux through (A) due to electric field of (B), then |
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Answer» `phi_1 = phi_2` Flux `=PHI=intE.ds` Force `=intsigmaE.ds=sigmaintE.ds=sigmaphi` As flux due to charge q in each plate is same force will be same. For C we have taken the horizontal component of electric field , but for As force due to one plate on another plate is same, hence `phi` due to 1 in another and due to 2 in 1 will be same. When x and R increased `phi` in plate due to charge remains same, hence force due to charge on plates does not change. |
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