Question

$T: R^{3}\rightarrow R^{2}$ is a linear transformation defined as : $T(x_{1}, x_{2}, x_{3} )=(x_{1}+ x_{2}+ x_{3}-x_{2}+x_{3})$. Find ker(T).

Answer 1

a 100 turn coil of area 0.1m2 rotates at half a revolution per second. it is placed in a magnetic field 0.1T perpendicular to the axis of rotation of coil.calculate the maximum voltage generated in the coil. Answer: f = 0.5 Hz; N =100, A = 0.1 m2 and B = 0.01 T.