A straight, long wire carries a current of $$20\ A$$. Another wire carrying equal current is placed parallel to it. If the force acting on a length of $$10\ cm$$ of the second wire is $$2.0\times 10^{-5}N$$, what is the separation between them?
Force acting on $$10 cm$$ of wire is $$2 \times 10^{-5} N$$
$$\dfrac{dF}{dI} = \dfrac{\mu_0 i_ 1 i_2}{2 \pi d}$$
$$\Rightarrow \dfrac{2 \times 10^{-5}}{10 \times 10^{-2}} = \dfrac{\mu_0 \times 20 \times 20}{2 \pi d}$$
$$\Rightarrow d = \dfrac{4 \pi \times 10^{-7} \times 20 \times 20 \times 10 \times 10^{-2}}{2 \pi \times 2 \times 10^{-5}} = 400 \times 10^{-3} = 0.4 m = 40 cm$$
Two long straight parallel wires, carrying (adjustable) current $$I_1$$ and $$I_2$$, are kept at a distance d apart. If the force 'F' between the two wires is taken as 'positive' when the wires repel each other and 'negative' when the wires attract each other, the graph showing the dependence of 'F', on the product $$I_1I_2$$, would be
Two wires carrying
Two parallel wires separated by a distance of $$10\ cm$$ carry currents of $$10\ A$$ and $$40\ A$$ along the same direction. Where should a third current be placed so that it experiences no magnetic force ?
Two parallel wires carry currents of 20 A and 40 A in opposite directions. Another wire carrying a current antiparallel to 20 A is placed midway between the two wires. The magnetic force on it will be
Two thin long parallel wires separated by a distance $$b$$ are carrying a current $$I$$ ampere each. The magnitude of the force per unit length exerted by one wire on the other is
Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the same direction are separated by a distance of 4.0 cm. Estimate the force on a 10 cm section of wire A.
The wires which connect the battery of an automobile to its starting motor carry a current of 300 A (for a short time). What is the force per unit length between the wires if they are 70 cm long and 1.5 cm apart? Is the force attractive or repulsive?
The wires which connect the battery of an automobile to its starting motor carry a current of 300 A (for a short time). What is the force per unit length between the wires if they are 70 cm long and 1.5 cm apart? Is the force attractive or repulsive?
Two straight wires A and B of lengths 10m and 12m carrying currents of 4.0 A and 6.0 A respectively in opposite direction, lie parallel to each other at a distance of 3.0 cm. The force on a 15 cm section of the wire B near its centre is
Two long and parallel straight wires A and B are carrying currents of 4 A and 7 A in the same direction are separated by a distance of 5 cm. The force acting on an 8 cm section of wire A is: