Consider an insulating disc of radius R in the presence of a constant, uniform magnetic field B, whose direction is normal to the plane of the disc. Suppose the disc holds a static surface charge density o= ar, where a is a constant and r is the distance from the centre of the disc. Furthermore, suppose the disc rotates at constant angular velocity w about an axis that is normal to the plane of the disc and passes through its centre. Find an expression for the total magnetic force acting on the disc. A current I flows down a cylindrical wire of radius a. The volume current density J is inversely proportional to the distance from the axis of the wire. (i) Find an expression for J as a function of radius s. (ii) Find an expression for the magnetic fields outside and inside the wire.
Consider an insulating disc of radius R in the presence of a constant, uniform magnetic field B, whose direction is normal to the plane of the disc. Suppose the disc holds a static surface charge density o= ar, where a is a constant and r is the distance from the centre of the disc. Furthermore, suppose the disc rotates at constant angular velocity w about an axis that is normal to the plane of the disc and passes through its centre. Find an expression for the total magnetic force acting on the disc. A current I flows down a cylindrical wire of radius a. The volume current density J is inversely proportional to the distance from the axis of the wire. (i) Find an expression for J as a function of radius s. (ii) Find an expression for the magnetic fields outside and inside the wire.
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Transcribed Image Text:Consider an insulating disc of radius R in the presence of a constant, uniform
magnetic field B, whose direction is normal to the plane of the disc. Suppose
the disc holds a static surface charge density o= ar, where a is a constant
and r is the distance from the centre of the disc. Furthermore, suppose the
disc rotates at constant angular velocity w about an axis that is normal to the
plane of the disc and passes through its centre.
Find an expression for the total magnetic force acting on the disc.
A current I flows down a cylindrical wire of radius a. The volume current
density J is inversely proportional to the distance from the axis of the wire.
(i) Find an expression for J as a function of radius s.
(ii) Find an expression for the magnetic fields outside and inside the wire.
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