Question

Two parallel wires 20 cm apart carry currents in the same direction of 10 A. What is the magnetic field halfway between them? Is there a force acting on the wires and when this is the case what is the direction of the force? Draw qualitatively the magnetic field lines of the magnetic field of each single wire and draw the magnetic field lines of the total magnetic field of the two wires. Give a detailed explanation for your answer.

Answer 1

12th

Physics

Moving Charges and Magnetism

Force Between Two Current Carrying Parallel Wires and Sheets

Two parallel wires carrying...

PHYSICS

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

December 20, 2019

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Shelly Tipnis

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ANSWER

Force on a current carrying conductor is F=∫i(

dl

×

B

)

Magnetic field due to one wire at the location of the second wire ( other one ) is B

1

​

=

2πd

μ

0

​

i

1

​

​

Forceon the 2nd wire due to B

1

​

is F

21

​

=i

2

​

l

2

​

B

1

​

=i

2

​

l

2

​

2πd

μ

0

​

i

1

​

​

=

2πd

μ

0

​

i

1

​

i

2

​

l

2

​

​

Force per unit length for wire l

2

​

is F

perunitlength

​

=

l

2

​

F

21

​

​

The force is attractive.