A thin ring of radius R=15 cm is uniformly charged with total charge Q =80 mC . It is spinning around its center with angular velocity w=3 rad/s. What is the magnetic field it generates at its center?

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In this question, we want to calculate the magnetic field generated by a uniformly-charged thin ring and an annulus (like a planar shape that looks like a thick ring).
Part A - Magnetic field of a charged ring
A thin ring of radius R =15 cm is uniformly charged with total charge Q =80 mC. It is spinning around its center with angular velocity w=3 rad/s. What is the magnetic field it
generates at its center?
Part B - Magnetic field of a charged annulus
An annulus of inner radius R1 =3cm and outer radius of R2 =15 cm is uniformly charged with total charge Q =80 mC. It is spinning around its center with angular velocity w=3
rad/s. What is the magnetic field it generates at its center?
Transcribed Image Text:In this question, we want to calculate the magnetic field generated by a uniformly-charged thin ring and an annulus (like a planar shape that looks like a thick ring). Part A - Magnetic field of a charged ring A thin ring of radius R =15 cm is uniformly charged with total charge Q =80 mC. It is spinning around its center with angular velocity w=3 rad/s. What is the magnetic field it generates at its center? Part B - Magnetic field of a charged annulus An annulus of inner radius R1 =3cm and outer radius of R2 =15 cm is uniformly charged with total charge Q =80 mC. It is spinning around its center with angular velocity w=3 rad/s. What is the magnetic field it generates at its center?
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