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Q.

Two parallel wires carrying currents in the same direction attract each other because of


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a

Potential difference between them

b

Mutual inductance between them

c

Electric forces between them

d

Magnetic forces between them 

answer is D.

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Detailed Solution

Two parallel wires carrying currents in the same direction attract each other because of magnetic forces between them
Let wire A and B two parallel wires carrying currents in the same direction attract each other. The wires will attract each other due to magnetic interaction.
The magnitude of the force acting on the current-carrying conductor will be
F= I×B×l…….(1)
Where,
B= magnitude of magnetic field
I = current flowing in the wire
L= length of the wire
The magnetic field equation is B=µ0 I2Πr  ……(2)
Where, B= Magnetic field strength 
 µ0 = permeability of vacuum             I = current (flowing in conductor)
 r = distance from conductor
By additing value 1 and 2  Let IA  is the current of wire A and IB is current of wire B
F= IB Bl
Where, B= Magnetic field strength
 µ0 = permeability of vacuum
 IB = current (flowing in conductor) of wire B
 r = distance from conductor
F=IB( µ0  IA 2Πr) l
Where, B= Magnetic field strength 
 µ0 = permeability of vacuum
 IA = current (flowing in conductor) of wire A             r = distance from conductor
 
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