Consider a block of conducting material of resistivity `'rho'` shown in the figure. Current `'I'` enters at 'A' and leaves from 'D'. We apply superposition principle to find voltage `DeltaV` 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 = rhoj,` 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'

Consider a block of conducting material of resistivity 'rho' shown in the figure. Current 'I' enters at 'A' and leaves from 'D'. We apply superposition principle to find voltage DeltaV 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 = rhoj, 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'. Delta V measured between B and C is

Consider a block of conducting material of resistivity 'rho' shown in the figure. Current 'I' enters at 'A' and leaves from 'D'. We apply superposition principle to find voltage DeltaV 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 = rhoj, 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'. Delta V measured between B and C is

Passage-II: Consider a block conducting material of resistivity . rho . shown in the figure. Current .I. enters at .A. and leaves from .D.. We apply superposition principle to find voltage . DeltaV . 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= rhoj , 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), (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

For current entering at A, the electric field E(r at a distance r form A

From the following calculate (i) Current ratio , and (ii) Quick ratio:

When some potential differece is maintained between A and B, current I enters the network at A and leaves at B

When some potential differece is maintained between A and B, current I enters the network at A and leaves at B

Calculate the equivalent resistance in the following circuit and also find the current I,I_(1) and I_(2) in the given circuit.