3.
(a) Consider an infinite wire traveled by a current I=10 A. What is the value of the
magnetic field at 10 cm away from it?
[2 marks]
(b) What is the force acting on a particle with charge q=2 C and moving with velocity
$\vec{v}$=(0,0,3$\cdot$10$^5$) m/s and immersed in a magnetic field $\vec{B}$=(0,1,1) T?
[2 marks]
(c) Consider a ring of conducting material with radius R= 2 cm immersed in a
homogeneous magnetic field with direction normal to it. What is the value of the
induced e.m.f. inside the circuit if the magnitude of the magnetic field is
changing as B=$B_0$t, where t is the time and $B_0$ is 3 T.
[2 marks]
(d) Compute the total magnetic field at the center of the ring at t=2 s by knowing
that the circuit opposes a resistance of 2$\Omega$.
[4 marks]
