Respuesta :
Explanation:
Given that,
Distance between two parallel wires, d = 3.55 cm
Force per unit length, [tex]F/L=1.7\times 10^{-4}\ N/m[/tex]
Current in one wire, I = 4.8 A
(a) The force acting per unit length in the wire is given by :
[tex]\dfrac{F}{L}=\dfrac{\mu_oI_1I_2}{2\pi d}[/tex]
Substituting all the values in above formula to find I₂ as:
[tex]1.7\times 10^{-4}=\dfrac{4\pi \times 10^{-7}\times 4.8I_2}{2\pi \times 3.55\times 10^{-2}}[/tex]
[tex]I_2=6.28\ A[/tex]
(b) Since, it is given that the two conductors repel each other, it means that the current is flowing in opposite direction.
(c) If the direction of current is reversed, they will start attracting towards each other and it the one current is doubled, the force per unit length will gets doubled.
The direction of one current was reversed and doubled then the two wires will attract each other and the force per unit length will get doubled.
What is Magnetic Force between Two Parallel Currents?
The magnetic Force between Two Parallel Currents is given by the formula,
[tex]\dfrac{F}{L} = \dfrac{\mu I_1I_2}{2\pi d}[/tex]
A.) We know that the force acting per unit length in the wire is given as,
[tex]\dfrac{F}{L} = \dfrac{\mu I_1I_2}{2\pi d}[/tex]
As it is given to us that the force per unit length of the wire is 1.70 10-4 N/m, the current in the wire is 4.80A, and the diameter of the wire is 3.55 cm.
[tex]1.70\times 10^{-4} = \dfrac{4\pi \times 10^{-7}\times 4.80 \times I_2}{2\pi \times 0.0355}\\\\I_2 = 6.28\rm\ A[/tex]
Thus, the current in the other wire is 6.28 A.
B.) As it is given that the two parallel wires repel each other, we know that the opposite direction current repels each other.
Hence, the current flows in the opposite direction.
C.) We know that the current flowing in the two conductors is in the opposite direction. If the direction of one current were reversed then the two-conductor wire will start to attract each other.
Further, if the current in one of the conductors is doubled then the force per unit length will get doubled.
Hence, if the direction of one current were reversed and doubled then the two wires will attract each other and the force per unit length will get doubled.
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