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...
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.
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...