Question: Q. 15. The magnitude of the force between two straight parallel current carrying conductors kept at a distance apart in air is given by
where, and are the currents flowing through the two wires
Use this expression, and the sign convention that the :
“Force of attraction is assigned a negative sign and force of repulsion assigned a positive sign”.
Draw graphs showing dependence of on :
(i) when kept constant
(ii) when the product is maintained at a constant positive value.
(iii) when the product is maintained at a constant negative value.
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Solution:
Ans. We know that is an attractive (- ve) force when the currents and are ’like’ currents, i.e., when the product is positive or when they are flowing in same direction.
Similarly is a repulsive (+ve) force when the currents and are ‘unlike’ currents, i.e., when the product is negative or when they are flowing opposite direction.
Now , when is kept constant and when is kept constant.
The required graphs, therefore, have the forms shown below.
(i)
(ii)
(iii)
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