Current Electricity Part 1

Section: Physics
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Question : 63 of 100
 
Marks: +1, -0
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 field E(r) at distance r from A by using Ohm's law E=ρj, 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.
For current entering at A, the electric field at a distance ' r' from A is
[AIEEE 2008]
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