Answer:
The magnetic force can be found by using the following equation:
[tex]F_B = IL\times B[/tex]
Let’s first deal with the magnitude, then we will figure out the direction by using the right hand rule.
[tex]4.2\times 10^{-4} = (30\times 10^{-3})\times (50\times10^{-3}) \times B\\4.2 \times 10^{-4} = 1500 \times 10^{-6}\times B\\(28\times 10^{-4})\times 10^2 = B\\B = 28\times 10^{-2}[/tex]
The direction of the L is equal to the direction of the current. So, the direction of the L is to the right. The required force is to be pointed upward.
By the right hand rule the magnetic field should be directed towards ‘into the plane’.
Explanation:
In the questions regarding the magnetic field, the cross product and the directions of the vectors are crucial. So, you should use right-hand rule efficiently.
Right-hand rule: [tex]A \times B = C[/tex]
Point your four fingers (except the thumb) towards the same direction as A.
Point your palm towards the same direction as B.
Your thumb should show the direction of C.