Question

2). The force per unit length is the unit of..​

Answer 1

Answer:

Let a, b, c ∈ R

Addition :

( a ∗ b ) ∗ c

= ( a + b ) + c

= a + b + c

And

a ∗ ( b ∗ c )

= a ∗ ( b + c )

= a + b + c

Thus, a ∗ ( b ∗ c ) = ( a ∗ b ) ∗ c

Hence, it is associative.

Multiplication :

( a ∗b ) ∗ c

= ab ∗ c

= abc

And

a ∗ ( b ∗ c )

= a ∗ bc

= abc

Thus, ( a ∗ b ) ∗ c = a ∗ ( b ∗ c )

Hence, it is associative.

Substraction :

( a ∗ b ) ∗ c

= ( a - b ) ∗ c

= a - b - c

And

a ∗ ( b ∗ c )

= a ∗ ( b - c )

= a - b + c

Thus, ( a ∗ b ) ∗ c ≠ a ∗ ( b ∗ c )

Hence, it is not associative.

Division :

( a ∗ b ) ∗ c

= a/b ∗ c

= a/bc

And

a ∗ ( b ∗ c )

= a ∗ b/c

= ac/b

Thus, ( a ∗ b ) ∗ c ≠ a ∗ ( b ∗ c )

Hence, it is not associative

Hence Proved.

Explanation:

Since current in both the wire is flowing in same direction, so both wire will attract each other.

Force per unit length acting on the wire B due to A    F=  

2πr

μ  

o

​  

I  

1

​  

I  

2

​  

 

​  

 

where  r=1 cm=0.01 m

∴   F=  

2π×0.01

4π×10  

−7

×20×75

​  

=0.03 N/m

Answer 2

Answer:

The ratio F/l is the force per unit length between two parallel currents I1 and I2 separated by a distance r. The force is attractive if the currents are in the same direction and repulsive if they are in opposite directions. This force is responsible for the pinch effect in electric arcs and other plasmas