Two like charged, infinitely long parallel wires with the same linear charge density of 3 × × 10 -8 C/cm are 2 cm apart. The work done against electrostatic force per unit length to be done in bringing them closer by 1 cm is 
J/m: Find the integer closest to x
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(11)
Sol.
Figure shows two like charged infinitely long wires with λ = 3 × 10 –6 cm
Now, electric field due to wire 1 on long wire 2 = 
Now, force on unit length of wire = Charge on unit length × 
= λ × 
= 
= 
= 8.1 N/m
Now work done to bring them dr cm closer ⇒ dW = 
dr
⇒ – 
= 
dr = 2kλ 2 In2 = 0.1129 J/m
= 
J/m
∴ x = 11
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