Question

A conducting spherical shell with inner radius a = 1.5 cm and outer radius b = 2a has a positive point charge Q = 1 nC located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings. Find the direction and magnitude of electric field at a point r = 1 cm away from the center. (Take 1/(4piepsilon_0) = 9 imes 10^9 N. m^2/C^2)

          A conducting spherical shell with inner radius
a = 1.5 cm and outer radius b = 2a has a positive
point charge Q = 1 nC located at its center. The
total charge on the shell is -3Q, and it is insulated
from its surroundings.
Find the direction and magnitude of electric field
at a point r = 1 cm away from the center.
(Take 1/(4piepsilon_0) = 9 	imes 10^9 N. m^2/C^2)

A conducting spherical shell with inner radius
a = 1.5 cm and outer radius b = 2a has a positive
point charge Q = 1 nC located at its center. The
total charge on the shell is -3Q, and it is insulated
from its surroundings.
Find the direction and magnitude of electric field
at a point r = 1 cm away from the center.
(Take 1/(4piepsilon0) = 9 imes 10^9 N. m^2/C^2)

Added by Eduardo H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

07/24/2023

Step 1

First, we need to find the electric field due to the positive charge Q at the center of the sphere. Since the point I is inside the sphere, we can use the formula for the electric field inside a uniformly charged sphere: $E_1 = \frac{1}{4\pi\epsilon_0} Show more…

Show all steps

Thanks for your feedback!

Conducting spherical shell with inner radius a = 1.5 cm and outer radius b = 2a has a positive point charge Q = 1 nC located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings. Find the direction and magnitude of electric field at a point r = 1 cm away from the center. (Take 1/(4πε₀) = 9 × 10⁹ N·m²/C²)