Recent content by MellyC

Homework Statement Find the electric potential inside and outside a spherical capacitor, consisting of two hemispheres of radius 1 m. joined along the equator by a thin insulating strip, if the upper hemisphere is kept at 220 V and the lower hemisphere is grounded Homework Equations...

I had some questions regarding your solution. First of all, for the solution \sin \theta_{1} = ( -\frac{\Omega}{2} ) \pm [ \sqrt{ 4 - \Omega^{2} } \cdot ( \theta_{1} - \Theta_{1} ) ] , , should it not be \sin \theta_{1} = ( -\frac{\Omega}{2} ) \pm 1/2[ \sqrt{ 4 -...

Linearize and classify the fixed points of \frac{d\theta1}{dt} = \Omega + sin \theta1 + \frac{1}{2} (sin\theta1 + sin\theta2) \frac{d\theta2}{dt} = \Omega + sin \theta2 + \frac{1}{2} (sin\theta1 + sin\theta2) I know that if the absolute value of omega is less than two, there will be 4...

How would I go about doing that? I'm a little bit confused about what the relationship between f(t), g(t), vi and ui is in this case. I understand that I can put the integral from part 1 into the inner product for the gram-schmidt orthogonalization in part 2, but what would my f(t) and g(t)...

Homework Statement The four functions v0 = 1; v1 = t; v2 = t^2; v3 = t^3 form a basis for the vector space of polynomials of degree 3. Apply the Gram-Schmidt procedure to find an orthonormal basis with respect to the inner product: < f ; g >= (1/2)\int 1-1 f(t)g(t) dtHomework Equations ui =...