Problem 4: A long, insulating cylinder with a 33 cm radius has charge distributed uniformly throughout it volume. The cylinder has a charge per unit length of 4 µC/m. P 49 cm 77 rad/s H a) What is the electric field at point P, where r₁ = 49 cm b) What is the volume charge density p? c) Now consider the cylinder to rotate about its cylindrical axis with constant angular velocity 77 rad/s. By considering the Amperian loop (shown below), find the value of the magnetic field B at point P, where r = 16 cm. Amperian loop T 33 cm 16 cm 33 cm

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Problem 4: A long, insulating cylinder with a 33 cm radius has charge distributed uniformly throughout its
volume. The cylinder has a charge per unit length of 4 µC/m.
P
49 cm
77 rad/s
a) What is the electric field at point P, where r₁ = 49 cm
b) What is the volume charge density p?
c) Now consider the cylinder to rotate about its cylindrical axis with constant angular velocity 77 rad/s. By
considering the Amperian loop (shown below), find the value of the magnetic field B at point P, where r2
= 16 cm.
Amperian loop
33 cm
16 cm
33 cm
Transcribed Image Text:Problem 4: A long, insulating cylinder with a 33 cm radius has charge distributed uniformly throughout its volume. The cylinder has a charge per unit length of 4 µC/m. P 49 cm 77 rad/s a) What is the electric field at point P, where r₁ = 49 cm b) What is the volume charge density p? c) Now consider the cylinder to rotate about its cylindrical axis with constant angular velocity 77 rad/s. By considering the Amperian loop (shown below), find the value of the magnetic field B at point P, where r2 = 16 cm. Amperian loop 33 cm 16 cm 33 cm
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