Answer:
Explanation:
l = 200 m
i = 5 A west
B = 6 micro Tesla direction 30 degree north of east
angle between length vector and the magnetic field vector = 180 - 30 = 150 degree
Write the length and the magnetic field in the vector form
[tex]\overrightarrow{l}=- 200 \widehat{i}metre[/tex]
[tex]\overrightarrow{B}= 6\times 10^{-6}\left ( Cos30\widehat{i}+Sin30\widehat{j} \right )Tesla[/tex]
[tex]\overrightarrow{B}=\left ( 5.2\widehat{i}+3\widehat{j} \right )\times 10^{-6}Tesla[/tex]
[tex]\overrightarrow{F} = i \overrightarrow{l}\times \overrightarrow{B}[/tex]
[tex]\overrightarrow{F} = 5\times \left ( -200\widehat{i} \right )\times \left ( 5.2\widehat{i}+3\widehat{j} \right )\times 10^{-6}[/tex]
[tex]\overrightarrow{F} =- 3\times 10^{-3}\widehat{k}Newton[/tex]
Thus, the magnitude of force is 3 x 10^-3 newton and it is directed towards negative z axis direction.
