Home
Class 12
PHYSICS
The unit vectors hati, hatj and hatk are...

The unit vectors `hati, hatj` and `hatk` are as shown below. What will be the magnetic field at `O` in the following figure

A

`mu_(0)/(4pi) i/a (2-pi/2) hatj`

B

`mu_(0)/(4pi) i/a (2+pi/2)hatj`

C

`mu_(0)/(4pi) i/a (2+pi/2)hati`

D

`mu_(0)/(4pi) i/a(2+pi/2) hatk`

Text Solution

Verified by Experts

The correct Answer is:
D
The field at 0 due to AB is `mu_(0)/(4pi). i.a hatk` and that due to DE is also `(mu_(0))/(4pi). i/a hatk`
However, the field due to BCD is `(mu_(0))/(4pi). i/a (pi/2) hatk`
Thus, the total field at O is `mu_(0)/(4pi). i/a (2+pi/2)hatk`
Promotional Banner

Similar Questions

Explore conceptually related problems

The unit vector along vector hati + hatj + hatk is ………..

A unit vector perpendicular to both hati + hatj and hatj + hatk is

Shown that the vectors 3 hati+3 hatj+9hatk and hati+hatj+3hatk are parallel.

A vector vec P when added to the sum of the vectors 2hati-3hatj+hatk and -3hati-hatj+hatk gives a unit vector along the x-axis. What is the magnitude of the vector vec P ?

A vector coplanar with vectores hati + hatj and hatj + hatk and parallel to the vector 2 hati - 2 hatj - 4 hatk is