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Question
Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10-5 N, then separation between the wires is ______cm.
Options
5
6
7
8
MCQ
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Solution
Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10-5 N, then separation between the wires is 5 cm.
Explanation:
We have
`"F"/"l"=mu_0/(2pi)("i"_1"i"_2)/"r"`
⇒ r = `mu_0/(2pi)"i"_1"i"_2xx"l"/"F"`
⇒ r = 2 × 10-7 × 25 × `0.1/10^-5`
= 50 × 10-7 × 104
= 50 × 10-3 m
= 5 cm
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Force and Torque on Current Carrying Conductor
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