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Q.

Two long, straight wires, each carrying an electric current of 5.0 A are kept parallel to each other at a separation of 2.5 cm. Find the magnitude of the magnetic force experienced by 10 cm of a wire

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a

6.0×105N

b

2.0×105N

c

3.0×105N

d

1.0×105N

answer is C.

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Detailed Solution

The field at the site of one wire due to the other is   B=μ0i2πd=2×107TmA1(5.0A)2.5×102m=4.0×105T
The force experienced by 10 cm of this wire due to the other is
F=ilB=(5.0A)10×102m4.0×105T=2.0×105N.
 

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