Above is a cross section of  spherical shell made of conducting material, with a spherical open cavity in the centre.

Sunday, 12 August 2018

4:06 PM

 

 

Machine generated alternative text:
Question: 
Figure 1 _ Above is a cross section ot spherical shell made ot conducting material, witn a spherical open cavity in the centre. The spherical shell has an inner radiusT1 and outer radius "2 with 
a total charge Q 
A conducting sphere has a radius r2 = 7.01 cm. The sphere has a total charge Q = +14.82gC. Inside the sphere is a spherical cavity (empty space) witn radius rl = 
1.67 cm which 
encloses a charge q = +3.32"C. 
part 1) 
What is the electric field strength inside the conducing sphere at radius = 4.51 cm? 
Your last answer was interpreted as follows: 0 
part 2) 
What total charge is found on the outer surface at "2? 
Qr2 = O 
Your last answer was interpreted as follows: 0 
part 3) 
What is the electric field strength at a distance = 20.71 cm trom the center of the sphere? (Note this is outside the sphere.) 
Your last answer was interpreted as follows: 0

 

Machine generated alternative text:
Your answer is partially correct Note: Your answers should be correct to 3 significant figures. 
Feedback tor Part 1) 
You have correctly answered this part 
Marks for this submissiom 0.33/0.33. 
Feedback tor Part 2) 
The total charge on the two surfaces at rl and is given by -HQ as in a conductor the charges are tound on the surface. To give zero field inside the conductor, the charge on the surface at 
rl must cancel out the -eq charge inside the cavity. This is due to Gauss' law: 
It E is zero then 0 
qenc 
Thus at there must be a charge ot —q. Total charge on sphere 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
Feedback tor Part 3) 
Draw a spherical Gaussian surface witn radius r4. 
Figure 1 _ A spherical Guassian surface (dashed line) of radius > is set up outside the spherical Snell. 
Gauss's law tells us that 
In this case the enclosed charge qenc = q + Q. The electric field points out from the sphere (away from positive charge) and dA also points out from the surface so these are parallel. Due 
to symmetry, E will be constant over the surface so can be pulled out the front of the integral: 
fÉdA = EfdA = E • = q+Q

 

Machine generated alternative text:
fdA is the total surface area ot the Gaussian surface, a sphere with radius r 4 in this case so: 
E04m•24 • 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
A correct answer is 0, which can be typed in as follows: 
A correct answer is 18.1, which can be typed in as follows: 
18.1 
A correct answer is 3800000, which can be typed in as follows: 
380eaae

 

 

Untitled picture.png Machine generated alternative text:
Question: 
Figure 1 _ Above IS a cross section ot spherical shell made ot conducting material, witn a spherical open cavity in the centre. The spherical shell has an inner radiusT1 and outer radius "2 with 
a total charge Q. 
A conducting sphere has a radius r2 = 4.58 cm. The sphere has a total charge Q = +15.52gC. Inside the sphere is a spherical cavity (empty space) witn radius rl = 
1.09 cm which 
encloses a charge q = +1.18"C. 
part 1) 
What is the electric field strength inside the conducing sphere at radius = 2.94 cm? 
Your last answer was interpreted as follows: 0 
part 2) 
What total charge is found on the outer surface at "2? 
Qr2 = 16.7 
Your last answer was interpreted as follows: 16.7 
part 3) 
What is the electric field strength at a distance = 
E = 8310000 
13.52 cm trom the center of the sphere? (Note this is outside the sphere.) 
Your last answer was interpreted as follows: 8310000 
Untitled picture.png Machine generated alternative text:
Correct answer, well done. 
Feedback tor Part 1) 
You have correctly answered this part 
Marks for this submissiom 0.33/0.33. 
Feedback tor Part 2) 
You have correctly answered this part 
Marks for this submissiom 0.33/0.33. 
Feedback tor Part 3) 
You have correctly answered this part 
Marks for this submissiom 0.33/0.33. 
Ink Drawings
Ink Drawings
Ink Drawings









Untitled picture.png Machine generated alternative text:
Correct answer, well done. 
Feedback tor Part 1) 
You have correctly answered this part 
Marks for this submissiom 0.33/0.33. 
Feedback tor Part 2) 
You have correctly answered this part 
Marks for this submissiom 0.33/0.33. 
Feedback tor Part 3) 
You have correctly answered this part 
Marks for this submissiom 0.33/0.33. 
Ink Drawings



 

 

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