If two long, straight wires carrying currents \( I_1 \) and \( I_2 \) are placed parallel to each other at a distance \( R \) in vacuum, what must be the ratio of \( I_1 \) to \( I_2 \) such that the magnetic force per unit length on each wire is zero?

A.
Inversely proportional to \( R \).
B.
Directly proportional to \( R \).
C.
Equal to the inverse square of the distance between the wires \((R^{-2})\).
D.
The ratio does not exist; there will always be a finite magnetic force.
Physics C(EM)
AP
College Board
Exam No:AP Physics C(EM) Unit 4 Questions Set Year:2024 Question No:APPhysicsCEM2024AP0119

Answer:

D

Knowledge points:

4.2 Magnetic Fields: Forces on Current Carrying Wires in Magnetic Fields
4.3 Magnetic Fields: Fields of Long Current Carrying Wires

Solution:

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