A wire of length / carries a current I along the Y direction and magnetic field is given by \(\vec{B}\) = \(\frac{\beta}{\sqrt{3}}\)(i +j +k)T- The magnitude of Lorentz force acting on the wire is
A. \(\sqrt{\frac{2}{\sqrt{3}}} \beta I l\)
B. \(\sqrt{\frac{1}{\sqrt{3}}} \beta \mathrm{Il}\)
C. \(\sqrt{2} \beta \mathrm{Il}\)
D. \(\sqrt{\frac{1}{2}} \beta \mathrm{Il}\)
Answer:A
A wire of length / carries a current I along the Y direction and magnetic field is given by \(\vec{B}\) = \(\frac{\beta}{\sqrt{3}}\)(i +j +k)T- The magnitude of Lorentz force acting on the wire is
A. \(\sqrt{\frac{2}{\sqrt{3}}} \beta I l\) B. \(\sqrt{\frac{1}{\sqrt{3}}} \beta \mathrm{Il}\) C. \(\sqrt{2} \beta \mathrm{Il}\) D. \(\sqrt{\frac{1}{2}} \beta \mathrm{Il}\)