CBSE Class 12 Physics 2019 Delhi Set 3 Paper

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Question : 7 of 8
 
Marks: +1, -0
Two infinitely long straight wires A1 and A2 carrying currents I and 2I flowing in the same direction are kept ' d ' distance apart. Where should a third straight wire A3 carrying current 1.5I be placed between A1 and A2 so that it experiences no net force due to A1 and A2 ? Does the net force acting on A3 depend on the current flowing through it?
Solution:
Finding the position of third wire
Reason

⇒F1=µ04πI×1.5Ix
F2=µ04π2I×1.5I(d−x)
For no force on the conductor A3
µ04πI×1.5Ix=µ04π2I×1.5I(d−x)
1x=2(d−x)
3x=d
x=d3
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