Two Concentric Spheres Are Shown in the Figure

question 33

Essay

Two concentric spheres are shown in the figure.The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface.The outer sphere is a conducting shell that carries a net charge of -8.00 µC.No other charges are present.The radii shown in the figure have the values R₁ = 10.0 cm,R₂ = 20.0 cm,and R₃ = 30.0 cm.(k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)
(a)Find the total excess charge on the inner and outer surfaces of the conducting sphere.
(b)Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i)r = 9.5 cm,(ii)r = 15.0 cm,(iii)r = 27.0 cm,(iv)r = 35.0 cm.

---

Definitions:

High-Pitched Sounds

Sounds that have a high frequency, typically perceived as "shrill" by the human ear.

Hair Cells

Sensory cells located in the inner ear, vital for the conversion of sound waves into electrical signals for hearing and helping in the maintenance of balance.

Nociceptors

Sensory receptors that detect signals from damaged tissue or the threat of damage and transmit information about pain to the brain.

Conduction Hearing Loss

A type of hearing loss where sound waves are not effectively conducted through the outer ear canal to the eardrum and the tiny bones of the middle ear.