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A conductor A witha cavityas shownin is given a charge Q. show that the entire charge must appearon the outer surfaceof the conductor. Another conductor B with charge q is inserted into the cavitykeepingB insulatedfrom A. Show that the total charge on the outside surface of A is Q+q (c) A sensitive instrument is to be shielded from the strongelectrostatic fields in its environment. Suggest a posible way. |
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Answer» Solution :Weknow that electricfield ` oversetto E `insidea conducting shell is zero. Consider an imaginary Gaussion surface (shown bydotted curve in ) Around the cavityof the conductor A. As `oversetto E ` is zero TOTAL electric flus `phi_in `over the Gaussian surface will be zeroand it implies that no charges is PRESENT within the Gaussian surface. It leads to the CONCLUSION that entire charge given to the conductor must appear on the outer surface of conductor only. (b) When a conductorB with charge q is inserted into the CAVITY of A, it induces a charges -q on the inner surface of conductor A and a charges +q is induced on the outer surface on conductor A. Consequently, total charge on the outer surface of conductor A becomes (Q+q). (c) To shield a senstive instrument from strong electrostatic FIELDS in its environment the instrument is placed inside a hollow conductor. Now irrespective of charge present on the conductor or any environmental electric field the electrostatic field in the cavitymust be zero. ` (##U_LIK_SP_PHY_XII_C01_E02_004_S01.png" width="80%"> |
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