Aparallel-plate air capacitor has a capacitance of 920 pf. the charge on each plate is 3.90 μc. what is the potential difference between the plates? express your answer with the appropriate units. part b if the charge is kept constant, what will be the potential difference between the plates if the separation is doubled? express your answer with the appropriate units. part c how much work is required to double the separation? express your answer with the appropriate units (mj)
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Ответ:
a)235.9*10^-6 V; b) 471.8 *10^-6 V; c) 1.08*10^-13 J
Explanation: In order to explain this problem we have to use the expression for a capacitor od two parallel plates, which is given by:
C=Q/V where Q and V are the charge and voltage difference in teh capacitor, respectively.
Then we have;
V=Q/C=920*10^-12/(3.9*10^-6)= 235.9*10^-6 V
If we double the separation between the plates, the potencial difference will be: ( Q is constant)
Vnew=Q/Cnew where Cnew is given by;
Cnew=ε *A/(2*d) = 1/2*(ε *A/d)=1/2* Co ; then:
Vnew=2*Q/(Co)=2*Vo=2*4.24 *10^3 V=471.8 *10^-6 V
Finally, the work made oin the capacitor is the difference of the final and initial potential energy so:
Uo=Q^2/(2Co)=
Uf= Q^2/(2Cnew) Cnew=Co/2
W=Uf-Uo= Q^2(1/Co)-Q^2(1/2*Co)=Q^2(1/2*Co)=1.08*10^-13 J
Ответ:
Chicago Manual of Style (CMoS) took the test and this is the correct answer.