Question 195: Magnetism and Matter

Question

Two wires A & B are carrying currents I1 & I2
as shown in the figure. The separation between
them is d. A third wire C carrying a current I
is to be kept parallel to them at a distance x from
A such that the net force acting on it is zero.
The possible values of x are :

Accepted Answer

Net force on wire carrying current I per unit
length is
$${{{\mu _0}{I_1}I} \over {2\pi x}} + {{{\mu _0}{I_2}I} \over {2\pi \left( {d - x} \right)}} = 0$$
$${{{I_1}} \over x} = {{{I_2}} \over {x - d}}$$
$$ \Rightarrow x = {{{I_1}d} \over {{I_1} - {I_2}}}$$

Answer

$$x = \left( {{{{I_1}} \over {{I_1} + {I_2}}}} \right)d\,and\,x = \left( {{{{I_2}} \over {{I_1} - {I_2}}}} \right)d$$

Answer

$$x = \left( {{{{I_2}} \over {{I_1} + {I_2}}}} \right)d\,and\,x = \left( {{{{I_2}} \over {{I_1} - {I_2}}}} \right)d$$

Answer

$$x = \left( {{{{I_1}} \over {{I_1} - {I_2}}}} \right)d\,and\,x = \left( {{{{I_2}} \over {{I_1} + {I_2}}}} \right)d$$

Answer

$$x =  \pm {{{I_1}d} \over {{I_1} - {I_2}}}$$

Magnetism and Matter

Two wires A & B are carrying currents I1 & I2 as shown in the figure. The separation between them is d. A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it is zero. The possible values of x are :

Choose the correct answer: