Force between the two parallel wires carrying currents has been used to define.
(A) Ampere (B) Coulomb (C)Volt (D)Watt
Answer
636k+ views
Hint:In the formula for calculating the force per unit length between two straight ,parallel current carrying wires, put the current through both the wires as unity. Also consider the distance between the wires as unity.
Step-by-step Solution:
We know that force per unit length between two parallel current carrying wires is given by- $\dfrac{F}{l} = \dfrac{{2\mu {I_1}{I_2}}}{{4\pi r}}$
where ${I_1}$=current flowing through conductor 1. $r$=distance between the conductors 1 and 2.
${I_2}$=current flowing through conductor 2.
Now, putting ${I_1}$=${I_2}$=1A, and putting the distance between them $r$=1m ,we get- $\dfrac{F}{l} = \dfrac{\mu }{{4\pi }} \times 2 \times 1 \times 1$
We know that, $\dfrac{\mu }{{4\pi }} = 2 \times {10^{ - 7}}$ ,putting this value in above equation we get-
$\dfrac{F}{l} = 2 \times {10^{ - 7}}$ N/m
From the above calculations ,it is clear that the force between the two parallel current carrying wire is $2 \times {10^{ - 7}}$N/m ,if the current between the wires is 1A(ampere). We can conclude that the force between two parallel current carrying wires is used to define ampere.
Hence, option (A) is correct.
ADDITIONAL INFORMATION:If the currents in both the wires flow in opposite directions ,the wires will move away from each other. And if the currents in both the wires flow in the same direction, the wires will attract each other.
The force between the wires and the distance between them vary inversely with each other i.e. if we double the distance between them ,the force becomes half. Similarly if half the distance between them ,the force becomes double.
Note-The ampere is that value of the steady current which, when maintained in each of the two long ,straight wires placed 1m apart ,would produce a force $2 \times {10^{ - 7}}$,on each other.
Step-by-step Solution:
We know that force per unit length between two parallel current carrying wires is given by- $\dfrac{F}{l} = \dfrac{{2\mu {I_1}{I_2}}}{{4\pi r}}$
where ${I_1}$=current flowing through conductor 1. $r$=distance between the conductors 1 and 2.
${I_2}$=current flowing through conductor 2.
Now, putting ${I_1}$=${I_2}$=1A, and putting the distance between them $r$=1m ,we get- $\dfrac{F}{l} = \dfrac{\mu }{{4\pi }} \times 2 \times 1 \times 1$
We know that, $\dfrac{\mu }{{4\pi }} = 2 \times {10^{ - 7}}$ ,putting this value in above equation we get-
$\dfrac{F}{l} = 2 \times {10^{ - 7}}$ N/m
From the above calculations ,it is clear that the force between the two parallel current carrying wire is $2 \times {10^{ - 7}}$N/m ,if the current between the wires is 1A(ampere). We can conclude that the force between two parallel current carrying wires is used to define ampere.
Hence, option (A) is correct.
ADDITIONAL INFORMATION:If the currents in both the wires flow in opposite directions ,the wires will move away from each other. And if the currents in both the wires flow in the same direction, the wires will attract each other.
The force between the wires and the distance between them vary inversely with each other i.e. if we double the distance between them ,the force becomes half. Similarly if half the distance between them ,the force becomes double.
Note-The ampere is that value of the steady current which, when maintained in each of the two long ,straight wires placed 1m apart ,would produce a force $2 \times {10^{ - 7}}$,on each other.
Recently Updated Pages
Which of the following graphs shows the variation of class 12 physics CBSE

Draw a labelled diagram of the human male reproductive class 12 biology CBSE

Describe the experiment to compare the emf of two cells class 12 physics CBSE

What is standard hydrogen electrode

What is conventional current and electric current class 12 physics CBSE

2Bromopentane is treated with an alcoholic KOH solution class 12 chemistry CBSE

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

A member of Simon commission later became Prime Minister class 12 social science CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

