What is the new charge density on the outside of the sphere?
A hollow conducting sphere has an outer radius of 0.257 m and an inner radius of 0.203 m. It initially possesses a uniform surface charge density of +6.31 × 10⁻⁶ C/m². A charge of -0.870 µC is introduced into the cavity inside the sphere.
A) What is the new charge density on the outside of the sphere?
B) Calculate the strength of the electric field just outside the sphere.
C) What is the electric flux through a spherical surface just inside the inner surface of the sphere?
1 Answers
_______________________________
A hollow, conducting sphere with an outer radius of 0.257 m and an inner radius of 0.203m has a uniform surface charge density of +6.31×10−6C/m^2 . A charge of -0.870uC is now introduced into the cavity inside the sphere.
the new charge density on the outside of the sphere=p=6.31*10^-6 – (8.7*10^-7/4pi*0.257^2
p = 6.31*10^-6 – (8.7*10^-7/0.8299)
p = 6.31*10^-6 – 1.0482*10^-6
p = 5.2618*10^-6 C/m^2
A) The new charge density on the outside of the sphere is 5.2618*10^-6 C/m^2
________________________
B) The strength of the electric field just outside the sphere=E=5.2618×10−6/8,85*10^-12 =5.9455*10^-5 N/C
________________________________
The electric flux through a spherical surface just inside the inner surface of the sphere=-8.7*10^-7 /8,85*10^-12
C) The electric flux through a spherical surface just inside the inner surface of the sphere=-9.8305*10^4 Nm^2/C
_____________________________
Related Questions
"If this same quantity of energy were transferred to 2.5 kg of water at its boiling point, what fraction of the water wo...
Have you ever noticed how the rear wheel of a bike seems to follow the front wheel closely? Why does this happen, and is...
Find the circumference of a circle with a radius of 5 inches. Please express your answer in terms of pi.
How tall is 77 inches when converted to feet?
Please identify each of the following as measurements: Length Area Volume Mass Density Time Temperature...
In circle O, ST is a diameter. What is the value of x if (2x + 8) equals one of the following options: 22.0, 25.0, 25.4,...
Today's CPUs operate at speeds measured in gigahertz rather than kilohertz. Is this statement true or false?
I have a question regarding torque in a magnetism context. I understand that the equation τ = IABsin(θ) will be relevant...
Could you please help me find the cube roots of the complex number represented in polar form as 8(cos 216° + i sin 216°)...
A 4.5 kg box slides down a 4.4 m high frictionless hill, starting from rest. It then travels across a 2.4 m wide horizon...