Home
Class 12
PHYSICS
Two parallel wires P and Q placed distan...

Two parallel wires P and Q placed distance r apart. They are carrying currents `I_1` and `I_2` where `I_1gtI_2`, but in opposite directions as shown in figure. Find the point on the line PQ where the resultant magnetic field is zero.

Text Solution

Verified by Experts

The resultant magnetic field will be zero at a point where the magnetic fields due to the currents in two wires are equal nad opposite. Such point R will lie to the right of Q at distance (x say) from Q.
Magnetic field at point R due to current `I_1` is
`B_1=(mu_0I_1)/(2pi(r+x))`
It is acting downwards in the plane of paper. Magnetic field at point R due to current `I_2` is
`B_2=(mu_0I)/(2pix)`
It is acting upwards in the plane of paper.
For zero magnetic field at R, `B_1=B_2`
or `(mu_0I)/(2pi(r+x))=(mu_0I_2)/(2pix)`
or `(I_1)/(r+x)=(I_2)/(x)` or `x=(I_2r)/(I_1-I_2)`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Conceptual Problems (d)|2 Videos

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Very Short Answer Questions (a)|2 Videos

  • ELECTROSTATICS

    PRADEEP|Exercise ASSERTION-REASON TYPE QUESTIONS|2 Videos

  • OPTICS

    PRADEEP|Exercise Multiple choice questions|1 Videos

Similar Questions

Explore conceptually related problems

Two parallel wires P and Q placed at a separation d= 6 cm carry electric currents i_1= 5A and i_2= 2A in opposite directions as shown in figure. Find the point on the line PQ where the resultant magnetic field is zero.

Two parallel wires P and Q placed at a separation d =6 cm on x-axis carry electric current i_(1) = 5A and i_(2) = 2 A in opposite directions as shown in Fig. Find the point on the line PQ where the resultant mgnetic field is zero.

Two parallel wires C and D placed perpendicular to the plane of paper at a separation of r(=8cm) , carry electric currents I_1=6A and I_2=3A in opposite directions as shown in figure. Find the point on the line CD where the resultant magnetic field is zero.

There are two parallel current carrying wires X and Y as shown in figure. Find the distance of a point from wire X, where the resultant magnetic field is zero.

Figure shows two long parallel straight wires distance 5cm apart carrying currents 4A and 10A in opposite directions. Find the position of a point where the resultant magnetic field due to current in two wires in zero.

Two long and parallel wires at P and Q carry currents 0. 1A and 0.2A respectively in opposite directions as shown in figure-4.239. In which region(s) a neutral point may not exist, that is where the magnetic field is not zero?

Two coplanar circular coils of equal radius carrying currents i_(1),i_(2) in opposite directions are at a large distance 'd' . The distance from the first coil where the resultant magnetic induction is zero is

Electric currents I_1 and I_2 are flowing in two mutually perpendicular conductors as shown in figure. Find the equation of locus of zero magnetic field points.