Velocity Selector using Crossed Electric and Magnetic Fields
A charged particle enters a region with a uniform electric field \(\vec{E}\) and a uniform magnetic field \(\vec{B}\). The fields are configured such that \(\vec{E}\), \(\vec{B}\), and the initial velocity \(\vec{v}\) of the particle are mutually perpendicular.\n\nExplain the conditions required for the particle to pass through this region undeflected. In your explanation:\n(i) Describe the nature […]
Force Between Parallel Current-Carrying Wires
Two long, parallel straight wires carry currents \(I_1\) and \(I_2\) and are separated by a distance \(r\). State the expression for the magnetic force per unit length, \(\frac{F}{L}\), between the wires in terms of \(I_1\), \(I_2\), \(r\), and the permeability of free space \(\mu_0\). State whether the force between the wires is attractive or repulsive […]
Calculating Magnetic Force Magnitude and Direction on a Current-Carrying Wire
A straight conductor of length 0.20 m lies in a horizontal plane (the xy-plane). It carries a current \(I = 3.0\) A directed at an angle of 30° North of East (measured from the positive x-axis towards the positive y-axis). The conductor is placed in a uniform magnetic field of magnitude \(B = 0.50\) T […]