Consider a block of conducting material of resistivity ρ shown in the

1.	Consider a block of conducting material of resistivity ρ shown in the figure. Current l enters A and B leaves from D. We apply superposition principle to find voltage ΔV developed between B and C. The calculation is done in the following steps: (a) Take current l entering from A and assume it to spread over a hemispherical surface in the block. (b) 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. (c) From the r dependence of E(r), obtain the potential V(r) at r. (d) Repeat (i), (ii) and (iii) for current l leaving D superpose results for A to D. For current at A, the electric field at a distance ‘r’ from A is
Answer» Consider a block of conducting material of resistivity $ρ$ shown in the figure. Current l enters A and B leaves from D. We apply superposition principle to find voltage $Δ V$ developed between B and C. The calculation is done in the following steps: (a) Take current l entering from A and assume it to spread over a hemispherical surface in the block. (b) Calculate field E(r) at distance r from A by using Ohm’s law $E = ρ j$ , where j is the current per unit area at r. (c) From the r dependence of E(r), obtain the potential V(r) at r. (d) Repeat (i), (ii) and (iii) for current l leaving D superpose results for A to D. For current at A, the electric field at a distance ‘r’ from A is

Consider a block of conducting material of resistivity ρ shown in the figure. Current l enters A and B leaves from D. We apply superposition principle to find voltage ΔV developed between B and C. The calculation is done in the following steps: (a) Take current l entering from A and assume it to spread over a hemispherical surface in the block. (b) 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. (c) From the r dependence of E(r), obtain the potential V(r) at r. (d) Repeat (i), (ii) and (iii) for current l leaving D superpose results for A to D. For current at A, the electric field at a distance ‘r’ from A is

Answer»

Consider a block of conducting material of resistivity $ρ$ shown in the figure. Current l enters A and B leaves from D. We apply superposition principle to find voltage $Δ V$ developed between B and C. The calculation is done in the following steps:
(a) Take current l entering from A and assume it to spread over a hemispherical surface in the block.
(b) Calculate field E(r) at distance r from A by using Ohm’s law $E = ρ j$ , where j is the current per unit area at r.
(c) From the r dependence of E(r), obtain the potential V(r) at r.
(d) Repeat (i), (ii) and (iii) for current l leaving D superpose results for A to D.

For current at A, the electric field at a distance ‘r’ from A is

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