4.2. Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50cm. The charge densities on the planes are -50nC/m and +25nC/m , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm?

Principles of Physics: A Calculus-Based Text
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Chapter19: Electric Forces And Electric Fields
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Question 4.2

3.4. A uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of 8.1 µC/m². (a)
Find the net charge on the sphere. (b) What is the total electric flux leaving the surface of the sphere?
IV. Electric potential
4.1. Two large, parallel, conducting plates are 12 cm apart and have charges of equal magnitude and opposite
sign on their facing surfaces. An electrostatic force of 3.9x1015 N acts on an electron placed anywhere
between the two plates. (Neglect fringing.) (a) Find the electric field at the position of the electron. (b)
What is the potential difference between the plates?
4.2. Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50
cm and x = +50cm. The charge densities on the planes are-50nC/m and +25nC/m² , respectively. What
is the magnitude of the potential difference between the origin and the point on the x axis at x =+80 cm?
4.3. What are (a) the charge and (b) the charge density on the surface of a conducting sphere of radius 0.15rm
whose potential is 200 V (with V=0 at infinity)?
4.4. A nonconducting sphere has radius R= 2.31 cm and uniformly distributed charge q = +3.50 fC. Take
the electric potential at the sphere's center to be Vo = 0. What is V at radial distance (a) r=1.45 cm and (b) r
%3D
= R.
E A
9:14 PM
Type here to search
6/2/2021
DELL
Transcribed Image Text:3.4. A uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of 8.1 µC/m². (a) Find the net charge on the sphere. (b) What is the total electric flux leaving the surface of the sphere? IV. Electric potential 4.1. Two large, parallel, conducting plates are 12 cm apart and have charges of equal magnitude and opposite sign on their facing surfaces. An electrostatic force of 3.9x1015 N acts on an electron placed anywhere between the two plates. (Neglect fringing.) (a) Find the electric field at the position of the electron. (b) What is the potential difference between the plates? 4.2. Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50cm. The charge densities on the planes are-50nC/m and +25nC/m² , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x =+80 cm? 4.3. What are (a) the charge and (b) the charge density on the surface of a conducting sphere of radius 0.15rm whose potential is 200 V (with V=0 at infinity)? 4.4. A nonconducting sphere has radius R= 2.31 cm and uniformly distributed charge q = +3.50 fC. Take the electric potential at the sphere's center to be Vo = 0. What is V at radial distance (a) r=1.45 cm and (b) r %3D = R. E A 9:14 PM Type here to search 6/2/2021 DELL
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