There exist infinitely long concentric cylindrical structures as given in Figure right. The region p < a is filled with an electric charge of density p₂ = Po (1-2) Coul/m³. Here po is a constant. Besides, a concentric cylindrical conducting shell is placed outside of the cylinder. Except for the conductor, everywhere is in a vacuum (0) a) Find the electric field intensity everywhere b) Find the electrostatic potential difference between i) ii) iii) p = 0 and p = a p = a and p = b p = b and p = c p(i) 7. conductor
There exist infinitely long concentric cylindrical structures as given in Figure right. The region p < a is filled with an electric charge of density p₂ = Po (1-2) Coul/m³. Here po is a constant. Besides, a concentric cylindrical conducting shell is placed outside of the cylinder. Except for the conductor, everywhere is in a vacuum (0) a) Find the electric field intensity everywhere b) Find the electrostatic potential difference between i) ii) iii) p = 0 and p = a p = a and p = b p = b and p = c p(i) 7. conductor
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Transcribed Image Text:There exist infinitely long concentric cylindrical
structures as given in Figure right. The region p < a
is filled with an electric charge of density P, =
Po (1) Coul/m³. Here po is a constant. Besides, a
concentric cylindrical conducting shell is placed
outside of the cylinder. Except for the conductor,
everywhere is in a vacuum (0)
a) Find the electric field intensity everywhere
b) Find the electrostatic potential difference
between
i)
ii)
iii)
p = 0 and p = a
p = a and p = b
p = b and p = c
A 7
p(T)
If
conductor
Figure 2. The geometry of Q-2.
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Step 1: Define Gauss law of electrostatics and the electric potential difference between two points:
VIEWStep 2: Draw a diagram showing Gaussian surfaces and evaluate the left side of the equation (1):
VIEWStep 3: Calculate the electric field in the region rho<a
VIEWStep 4: Calculate the electric field in the region a<rho<b, b<rho<c, and rho>c
VIEWStep 5: Calculate the electric potential difference between rho=0 and rho=a
VIEWStep 6: Calculate the electric potential difference between rho=a and rho=b
VIEWStep 7: Calculate the electric potential difference between rho=b and rho=c
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