Semiinfinite conducting planes o = 0 and o /6 are separated by an infinitesimal insu- lating gap as in Figure 6.3. If V(o - 0) = 0 and V(¢ = «/6) = 100 V, calculate V and E in the region between the planes. %3D 1 dv p da gap Since p = 0 is excluded due to the insulating gap Verifv Yourself vv = 0, V( = 0) = 0, Vo = x/6) = 100 d'v do? V = Ao + B When o 0, V = 0, 0 = 0 + B- B =0 When o = V = V I dv p do V= Ao,A E- - VV - %3D dow activ

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Author:James Stewart
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Chapter1: Functions And Models
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this question is half solved so solve it fully..
Semiinfinite conducting planes o = 0 and o == z/6 are separated by an infinitesimal insu-
lating gap as in Figure 6.3. If V(6 = 0) = 0 and V(o = x/6) = 100 V, calculate V and E
in the region between the planes.
1 d'v
= 0
p da?
gap
%3D
Since p = 0 is excluded due to the insulating gap
d'v
= 0
do?
Verifv Yourself
v³v = 0, V(O = 0) = 0, V(6 = x/6) = 100
V = Ao + B
When o = 0, V 0.
0 = 0 + B-B= 0
When o = . V V
I dv
P do
V= Ao, A
E - - V
dow
activ
Transcribed Image Text:this question is half solved so solve it fully.. Semiinfinite conducting planes o = 0 and o == z/6 are separated by an infinitesimal insu- lating gap as in Figure 6.3. If V(6 = 0) = 0 and V(o = x/6) = 100 V, calculate V and E in the region between the planes. 1 d'v = 0 p da? gap %3D Since p = 0 is excluded due to the insulating gap d'v = 0 do? Verifv Yourself v³v = 0, V(O = 0) = 0, V(6 = x/6) = 100 V = Ao + B When o = 0, V 0. 0 = 0 + B-B= 0 When o = . V V I dv P do V= Ao, A E - - V dow activ
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