Home
Class 12
PHYSICS
A non-planar loop of conducting wire ca...

A non-planar loop of conducting wire carrying a current I is placed as shown in the figure. Each of the straight sections of the loop is of length 2a. The magnetic field due to this loop at the point P (a, 0, a) in the direction

A

`1/sqrt2(-hatj+hatk)`

B

`1/sqrt3(-hatj+hatk+hati)`

C

`1/sqrt3(hati+hatk-hat5)`

D

`1/sqrt2(hati+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
D
The magnetic field at `P(a,0)` due to the loop is equal to the vector sum of the magnetic field produced by loops `ABCDA` and `AFEBA` as shown in figure.
Magnetic field due loop `ABCDA` will be along `hati` and due to loop `AFEBA` along `hatk`.Magnitude of magnetic field due to both the loops will be equal.Therefore, direction of resultant magnetic field at `P` will be `1/sqrt2(hati+hatk)`
This is a common practice, when by assuming equal current in opposite directions in an imaginary wire (here `AB`).loops are completed and solution becomes easy.
Promotional Banner

Topper's Solved these Questions

  • ELECTRODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise-2 PART-2|26 Videos

  • ELECTRODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise-2 PART-3|18 Videos

  • ELECTRODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise-1 PART-2|54 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

  • ELECTROMAGNETIC INDUCTION

    RESONANCE ENGLISH|Exercise A.l.P|19 Videos

Similar Questions

Explore conceptually related problems

A non - popular loop of conducting wire carrying a current I is placed as shown in the figure . Each of the straighrt sections of the loop is of the length 2a . The magnetic field due to this loop at the point P(a, 0 ,a) points in the direction

A square loop OABCO of side of side l carries a current i . It is placed as shown in figure. Find the magnetic moment of loop.

A square loop OABCO of side of side l carries a current i . It is placed as shown in figure. Find the magnetic moment of loop.

A non planar closed loop of arbitrary shape carryign a current I is placed in uniform magnetic field. The force acting on the loop

A wire loop carrying current I is placed in the x-y plane as shown. Magnetic induction at P is

A loop PQR carries a current i = 2A as shown in the figure. A uniform magnetic field B = 2T exists in space parallel to the plane of the loop . The magnetic torque on the loop is

A square loop is placed near a long current carrying straight wire as shown in the figure . Match the following table

A conducting loop carrying a current I is placed in a uniform magnetic field ponting into the plane of the paper as shown. The loop will have a tendency to

A square loop of side a carris a current I . The magnetic field at the centre of the loop is

A wire loop carrying current I is placed in the x-y plane as shown in the figure. If an external uniform magnetic field vec(B)=B hat(i) is switched on, then the torque acting on the loop is