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Electricity

Blazing goIITian

 Joined: 14 Jan 2007 Post: 351
14 May 2007 20:38:57 IST
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Engineering Entrance , Medical Entrance , AIPMT , JEE Main , AIIMS , JEE Advanced , Physics , Electricity

1)A hollow charge conductor has a tiny hole cut into  its surface. Show that the the electric field in the hole is /20 n
2)what is the effect on the magnitufde of parallel plate capacitor if one of the plates is earthed .
3) If coulombs law involved 1/r3 dependence , would gauss law be still true.

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14 May 2007 21:37:23 IST
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14 May 2007 22:01:22 IST
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THE ELECTRIC FIELD ON THE SURFACE OF A UNIFORMLY CHARGED SPHERICAL SURFACE IS (SIGMA)/EPISILON. IF A SMALL WHEN HOLE IS MADE THEN THE ELECTRIC FIELD DUE TO THE SMALL HOLE IS MISSING. IF THE HOLE WERE TO BE FILLED THEN THE ELECTRIC FIELD DUE TO THE WOULD BE HOLE PORTION AND THE REMAINING SURFACE WOULD HAVE CANCELLED EACH OTHER INSIDE THE SURFACE, AS THERE SHOULD NOT BE ANY ELECTRIC FIELD INSIDE A HOLLOW CONDUCTOR. AND OUTSIDE THE RESULTANT ELECTRIC FIELD SHOULD BE THE SUM OF THE ELECTRIC FIELDS DUE TO THE WOULD BE HOLE AND THE REMAINING SURFACE. SINCE BOTH THE FIELDS ARE SAME WE GET 2E = (SIGMA / EPSILON), WHICH GIVES E = (SIGMA / 2 EPSILON)

Blazing goIITian

Joined: 14 Jan 2007
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16 May 2007 11:57:00 IST
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Plz answer the 2nd &3rd ques.

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16 May 2007 12:58:36 IST
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2) Capacity increases because potential decreases.
3) No.

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