Solution (3):
Magnetic field at point at point (a):
Magnetic field at point a, due to the current flowing right dirrection is given by
Similarly the magnetic field at point a, due to the current flowing left dirrection is given by
So, net magnetic field at point a, due to the current carrying wires is given by
(1)
Magnetic field at point at point (b):
Magnetic field at point b, due to the current flowing right dirrection is given by
Similarly the magnetic field at point b, due to the current flowing left dirrection is given by
So, net magnetic field at point b, due to the current carrying wires is given by
(2)
Magnetic field at point at point (c):
Magnetic field at point c, due to the current flowing right dirrection is given by
Similarly the magnetic field at point c, due to the current flowing left dirrection is given by
So, net magnetic field at point c, due to the current carrying wires is given by
(3)
Now, calculation force per unit length on each wire:
Since current in each wire is same and in opposite direction. So, the force per unit length is attractive in nature and equal in magnitude.
Magnetic field on one wire due to the other is given by
and magnetic force per unit length on one wire due to the other is given by
Putting the values of I and B, we get
(4)
12999 3. What is the magnetic field (magnitude and direction) at each of the positions a-c...
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