Recent content by Richardbryant

It's a long time ago question, but i think it's worth answering it. First, let we examine the equation curlxE=-dB/dt Given the condition, which mean curlxE is in z direction with component larger then zero. Then we may express the algebraic identity of curl which we find dEy/dx-dEx/dy is...

Homework Statement Given circuit is a circle, force is a central force[/B] Ueff(r)=U(r)+L^2/2mr^2 Homework Equations the problem i find is, the angular momentum is a function of r however, the solution when differentiate the effective potential, just treat angular momentum as a constant. That's...

Homework Statement A solid is bounded by the surface z=x^2-y^2, the xy-plane, and the plane x=1 and x=3. Compute, by double integration, the volume of the the solid. Homework EquationsThe Attempt at a Solution I know that the height is the z function and the lower limit of is x= 1 and upper...

I am sorry i don't familiar with this phenomenon

Homework Statement A metal rod of length length L, linear coefficient of expansion a, is fixed at both ends to the walls. When the temperature is increased byΔT, the rod bends into a circular arc due to thermal expansion. 2 Relevant equations a)Find the radius of curvature R of the rod by...

I notice there something wrong when i post this thread, therefore i shall rewrite it starting from The attempt at a solution Denote Co be the initial capacitance, C' be the final capacitance. Formula used: C=Q/V E=σ/ε0 First,Co Q/Vo, Vo=- ∫E.ds (range from 0->d) , thus the result is -σd/ε0 ...

I notice there something wrong when i post this thread, therefore i shall rewrite it starting from The attempt at a solution Denote Co be the initial capacitance, C' be the final capacitance. Formula used: C=Q/V E=σ/ε0 First,Co Q/Vo, Vo=- ∫E.ds (range from 0->d) , thus the result is -σd/ε0 ...

Homework Statement A Sheet of conductor of thickness t and parallel faces of cross-sectional area >=A is inserted between the plates of the capacitor of a parallel plate conductor. Show that the capacitance increased by ΔC= ε0tA/d(d-t) Homework Equations σ,ε0,Δ The Attempt at a Solution...

Thank you! I am reading the book Thank you! When i got to it i actually think of this short cut, it definitely saves lots of time, yet none of my reference told me about that, what a pity.

I had solved it already thank you

Thank you for your reply. Up to this moment i can find all the electric field in various region, also, i had found the electric potential at the region r∈[b,infinity). However, i couldn't compute the electric potential of the next two region left

Thank you for your reply. Idon't understand why the electric potential has to be a a constant, would you mind to offer mind some physical explanation of this?

Homework Statement Two concentric spheres have radii a and b with b>a. The region between them is filled with charge of constant density p. The charge density is zero everywhere else. Hence, find the electric field of all points , then find the electric potential. 2. Homework Equations [/B]The...

Oh, yeah i got the correct answer, but i didn't notice, thank you about that!

The question is to find a x(t) satisfying the given condition