A) \[2 \times 1{{0}^{-}}^{4}N, attractive~~~~\]
B) \[2 \times 1{{0}^{-}}^{4}N, repulsive\]
C) \[2 \times 1{{0}^{-}}^{7}N, attractive\]
D) \[2 \times 1{{0}^{-}}^{7}N, repulsive\]
Correct Answer: A
Solution :
Force per unit length, \[F=\frac{{{\mu }_{0}}{{I}_{1}},\,{{I}_{2}}}{2\pi \,d}\] Current in wire, \[{{I}_{1}}={{I}_{2}}=10\,A\] Distance between two wires, \[\operatorname{d}=10 cm, = 0.1 m\] \[\therefore \,\,\,\,\,\,\,\,F=\frac{(4\pi \,\times \,{{10}^{-\,7}})\times 10\times 10}{2\pi \,\,\times \,\,0.1}\] \[=\,\,\,\,2\,\,\times \,\,1{{0}^{-\,4}}\,N\] As, current is flowing in same direction so force will be attractive.
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