A uniform magnetic field $\vec B = \left( {3\hat i + 4\hat j + \hat k} \right)$ exists in region of space. A semicircular wire of radius $1\,m$ carrying current $1\,A$ having its centre at $(2, 2, 0)$ is placed in $x-y$ plane as shown in figure. The force on semicircular wire will be
A uniform magnetic field $\vec B = \left( {3\hat i + 4\hat j + \hat k} \right)$ exists in region of space. A semicircular wire of radius $1\,m$ carrying current $1\,A$ having its centre at $(2, 2, 0)$ is placed in $x-y$ plane as shown in figure. The force on semicircular wire will be
- A
$\sqrt 2 \left( {\hat i + \hat j + \hat k} \right)$
- B
$\sqrt 2 \left( {\hat i - \hat j + \hat k} \right)$
- C
$\sqrt 2 \left( {\hat i + \hat j - \hat k} \right)$
- D
$\sqrt 2 \left( {-\hat i + \hat j + \hat k} \right)$
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A rectangular loop of wire shown below is coplanar with a long wire carrying current $I$. The loop is pulled to the right a s indicated. What are the directions of the induced current in the loop and the magnetic forces on the left and the right sides of the loop?
Induced current
Force on left side
Force on right side
$a.$
Counter clockwise
To the left
To the right
$b.$
clockwise
To the left
To the right
$c.$
Counter clockwise
To the right
To the left
$d.$
clockwise
To the right
To the left
A rectangular loop of wire shown below is coplanar with a long wire carrying current $I$. The loop is pulled to the right a s indicated. What are the directions of the induced current in the loop and the magnetic forces on the left and the right sides of the loop?
| Induced current | Force on left side | Force on right side | |
| $a.$ | Counter clockwise | To the left | To the right |
| $b.$ | clockwise | To the left | To the right |
| $c.$ | Counter clockwise | To the right | To the left |
| $d.$ | clockwise | To the right | To the left |
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