A parallel plate capacitor is filled with a dielectric having dielectric constant κ=2.1 and dielectric strength Em=278 MV m−1.

Sunday, 26 August 2018

12:49 AM

Machine generated alternative text:
Question: 
part 1) 
A parallel plate capacitor is tilled witn a dielectric having dielectric constant R 
can support a potential ditterence of 95 V? 
part 2) 
2.1 and dielectric strength Em 
278 MV m 
. What is the minimum theoretical separation between the plates it 
At a voltage of 95 V, what capacitance would be required to store 1.0 kilowatt-hour ot energy? 
farads 
part 3) 
At a voltage of 95 V, what minimum volume of dielectric would be required to store 1.0 kilowatt-nour ot energy? 
volume 
Check

 

Machine generated alternative text:
Feedback tor Part 1) 
The field must be no greater than Em, so — = Em, so d 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
Feedback tor Part 2) 
U = Acv2soc=2 
2x 1000 watts x3600 s 
(95 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
Feedback tor Part 3) 
U = and C 
and the minimum V = Emd. So 
(Emd)2 
volume = Ad 
2x3.6MJ 
Note that the final answer does not depend on V : a big V would require a larger d but could nave a correspondingly smaller A. Note also that we have not included the volume ot the plates and 
connections. 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
A correct answer is 340, which can be typed in as follows: 
348 
A correct answer is 800, which can be typed in as follows: 
sea 
A correct answer is 5, which can be typed in as follows:

 

 

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