Home
Class 12
PHYSICS
Two parallel wires P and Q placed at a s...

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.

A

4 cm left P

B

4 cm right of Q

C

middle of PQ

D

At no position

Text Solution

Verified by Experts

The correct Answer is:
B
At the desired point, the magnetic field due to two wires must have equal magnitude but opposite directions. The point should be either to the left of P or to the right of Q. As the wire Q has smaller current, hte point should be closer to Q. Let this point R be at a distance x form Q.
The magnetic field at R due to the current `i_(1)` will have magnitude.
`(B_1)=(mu_(0)i_(1))/(2 pi (d+x)`
and will be directed in the plane of the figure. The field at the same point due to the current `(i_2)` will be
`B_(2)=(mu_(0)i_(2))/(2 pi x)`
directed upward in the plane of the figure. If the resultant field at R is zero, we should have `B_(1)=B_(2)`, so that `(i_1)/(d+x_=(i_2)/(x)`
Hence, `x=(i_(2)d)/(i_(1)-i_(2)) =((2A)(6 cm))/((3A))=4 cm`.
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|34 Videos

  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|84 Videos

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise True and False|3 Videos

  • NUCLEAR PHYSICS

    CENGAGE PHYSICS ENGLISH|Exercise ddp.5.5|14 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 very long, straight wires carrying, currents as shown in Fig. Find all locations where the net magnetic field is 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

Two long parallel conductors cany currents i_(1) = 3A and i_(2) = 3A both are directed into the plane of paper. The magnitude of resultant magnetic field at point 'P, is

Two long parallel wires placed 0.08 m apart, carry currents 3 A and 5 A in the same direction. what is the distance from the conductor carrying the larger current to the point where the resultant magnetic field is zero?

Two thin long wires carry currents I_1 and I_2 along x- and y-axes, respectively, as shown in Fig. Consider the points only in x-y plane.

Two electric charges q_(1) = q and q_(2) = -2q are placed at a distance l = 6a apart. Find the locus of points in the plane of the charges where the field potential is zero

Current I_1 and I_2 flow in the wires shown in Fig. The field is zero at distance x to the right of O. Then

Two positive point charges q_1=16muC and q_2=4muC are separated in vacuum by a distance of 3.0m . Find the point on the line between the charges where the net electric field is zero.-

The two long, straight wires carrying electric currents in opposite directions. The separation between the wires is 5.0 cm. Find the magnetic field at a point P midway between the wires.