Current Electricity Part 1
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Question : 63 of 100
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Consider a block of conducting material of resistivity ′ ρ ′ shown in the figure. Current ′ I ′ enters at ′ A ′ and leaves from ′ D ′ . We apply superposition principle to find voltage ' ∆ V ′ developed between ′ B ′ and ′ C ′ . The calculation is done in the following steps:
(i) Take current′ I ′ entering from ′ A ′ and assume it to spread over a hemispherical surface in the block.
(ii) Calculate fieldE ( r ) at distance ′ r ′ from A by using Ohm's law E = ρ j , where j is the current per unit area at ′ r ′ .
(iii) From the′ r ′ dependence of E ( r ) , obtain the potential V ( r ) at r .
(iv) Repeat (i), (ii) and (iii) for current 'I ′ leaving ′ D ′ and superpose results for ′ A ′ and ′ D ′ .A , the electric field at a distance ' r' from A is
(i) Take current
(ii) Calculate field
(iii) From the
(iv) Repeat (i), (ii) and (iii) for current '
For current entering at
[AIEEE 2008]
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