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Question

The resistivity of a conductor with a current density of 2.5Am2 when an electric field 5×108Vm1 is applied to it, is
  1. 1.0×108Ωm
  2. 2.0×108Ωm
  3. 0.5×108Ωm
  4. 12.5×108Ωm

A
2.0×108Ωm
B
0.5×108Ωm
C
12.5×108Ωm
D
1.0×108Ωm
Solution
Verified by Toppr

The correct option is B 2.0×108Ωm

Step 1: Relation between Electric field(E), Resistivity and Current density(J)

Suppose length of conductor =l
We know that, Potential difference, V=E.l
& Current Density J=I/A
So, I=JA
and R=ρlA

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