using C\equiv \frac{εA}{d} where A= area of plates and the distance is a function of x d(x) \equiv 2 + 0.4x
we get
C\equiv ε \frac{\int_{0}^{1}dy \int_{0}^{.5}dx}{\int_{0}^{.5}(2+.4x)dx} then substituting in U \equiv \frac{1}{2} ε V^2 C
we can get
U \equiv \frac{1}{2} ε V^2...
the idea is that i can divide the plates in very tine ones and will use this forumula
Q \equiv εA(Δ V / Δd) and will set A\equiv dxdy and d \equiv dz
so the new equation will be like
Q \equiv εV \int_0^1 {dx} \int_0^.5 {dy} \int_a^b{1/dz}
where a\equiv2 and b\equiv2.2
and then use u...
ok so i was wondering if so for example i will use this formula E = Δ V / Δ d, and by dividing the plates in very tiny plates i can now write E as E = ∑ (Δ V / Δd), but since we V is constant E= V (∑ (1/Δd)) so this will be the same as E=V∫((1/dx)) from d1 to d2 where d=x?
is this approach...
so for example i will use this formula E = Δ V / Δ d, and by dividing the plates in very tiny plates
i can now write E as E = ∑ (Δ V / Δd), but since we V is constant E= V (∑ (1/Δd)) so this will be the same as E=V∫((1/dx)) from d1 to d2 where d=x?
is this approach correct? and then...
Homework Statement
A parallel-plate capacitor with plates of area (0.5m) * (1m) has a distance separation of 2 [cm] and a voltage difference of V = 200 [V], as shown in Fig.
a) Find the energy stored
b) keep d1 = 2 [cm] and the voltage difference V, while increasing d2 = 2.2...
i think its a wire or a rod and "a" would be the radius of the cylinder, so my question would be since the problem gives you the surface charge of the cylinder
the total charge for r>a would be λL+ ρ*2∏*r*L ?
Homework Statement
Determine the insulation resistance in a coaxial cable of length L, with conductivity, as shown in Figure assume that the current density J is radial direction.
The Attempt at a Solution
so i was wondering if this approach is correct,
consider a sequence of...
Homework Statement
Determine the insulation resistance in a coaxial cable of length L, with conductivity, as shown in Figure assume that the current density J is radial direction.
The Attempt at a Solution
so i was wondering if this approach is correct,
consider a sequence of...