Two straight wires A and B of lengths 10 m and 12 m carrying currents of 4.0 A and 6.0 A respectively in opposite direction, lie parallel to each othe

Question

Two straight wires A and B of lengths 10 m and 12 m carrying currents of 4.0 A and 6.0 A respectively in opposite direction, lie parallel to each othe

Two straight wires A and B of lengths 10 m and 12 m carrying currents of 4.0 A and 6.0 A respectively in opposite direction, lie parallel to each other at a distance of 3.0 cm. The force on a 15 cm section of the wire B near its centre is
A. `2.4 xx 10^(-5)N,"attractive"`
B. `2.4 xx 10^(-5)N, "repulsive"`
C. `1.2 xx 10^(-5)N, "attractive"`
D. `1.2 xx 10^(-5)N,"attractive"`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - B
The lengths of the two wires are quiet large as compared to the separation between them. The two wires many be regarded as infinitely long wires. The force per unit length of wire B due to A,
`f=(mu_(0)I_(1)I_(2))/(2pir)=(4pixx10^(-7)xx4xx6)/(2pixx3xx10^(-2))=1.6xx10^(-4)"N m"^(-1)`
Force on 15 cm or 0.15 cm section of B,
`F=fl=1.6xx10^(-4)xx0.15=2.4xx10^(-5)N` (repulsive).