Magnetic Forces: Charged Particles and Current-Carrying Wires - Prof. Robert Chang, Study notes of Physics

Download Magnetic Forces: Charged Particles and Current-Carrying Wires - Prof. Robert Chang and more Study notes Physics in PDF only on Docsity! Dr. Chang When will there be a magnetic force FB present?  When you have a charged particle moving in a magnetic field o FB = q v x B o FB = qvB sinѲ (if v and B lie on the same plane)if v and B lie on the same plane) o Carry out cross product of v (if v and B lie on the same plane)ijk) and B (if v and B lie on the same plane)ijk) if they do not lie on the same plane. o What right-hand Rule to use here?  When you have a current-carrying wire placed in a magnetic field o FB = I L x B L has the direction as current I in the wire o FB = ILB sinѲ (if v and B lie on the same plane)if L and B lie on the same plane) o Carry out cross product of L (if v and B lie on the same plane)ijk) and B (if v and B lie on the same plane)ijk) if they do not lie on the same plane. o What right-hand Rule to use here?  When you have two current-carrying wires, one wire and a loop, or two loops o Figure out the magnitude and direction of B field generated by one wire/loop at the location of the other wire/loop (if v and B lie on the same plane)see below) Other than using a magnet, what other ways to produce a B field? Use current carrying wires. Note that the B field produced is not uniform.  Infinitely long straight wire lBl = μoI/2πaπaa Rt-hand Rule  Finite length straight wire* lBl = (if v and B lie on the same plane)μoI/4πa) [sinѲπaa) [sinѲ1 + sinѲ2πa] Rt-hand Rule  Arc of wire lBlcenter = (if v and B lie on the same plane)μoI/4πa) [sinѲπaa) Ѳ Rt-hand Rule  Circular loop lBlcenter = (if v and B lie on the same plane)μoI/2πaa) Rt-hand Rule  Square Loop HW problem Rt-hand Rule  Rectangular Loop Think! Rt-hand Rule  Coil (if v and B lie on the same plane)Solenoid) lBlinside = μonI = μo(if v and B lie on the same plane)N/l)I Rt-hand Rule Draw a figure to go with each of the above.