Recent content by uruz

c is an integer (2{\pi}k1 - 2{\pi}k2)/n = c2\pi k1 - k2 = cn hence k1 and k2 is integer, n must be integer too to have same roots. that means if n is an irrational number this equation cannot be satisfied namely all roots we can find are different so we can say there are infinitely many...

If i take n, for instance 2.3 there will be several solution because at a certain k value i will notice that I've found the same root before. if i take n=2.34 there'll be more solution because cosine or sine of it will have different values from previous ones..and the number of solutions...

Homework Statement \sqrt[n]{Z} has exactly n distinct value for integer n. What can you say about non-integer n's ? Homework Equations \sqrt[n]{Z}={|Z|}^{1/n}.(cos((\theta+2k\pi)/n)+isin((\theta+2k\pi)/n) The Attempt at a Solution I used Euler's formula to see clearly what the...

to satisfy the outer boundary conditions i will put a -Q1 as an image charge at the same location as Q1.. That means on the outside of shell Q1 and its image Q1i (-Q1) will neutrlize each other and Q2 + Q2i will make the potential outside.. If we were interested in potential inside we...

You were right.. It wasn't zero potential at boundary according to my calculations.. but now i did something different but followed your advises. Still interested in the potential of outside the shell. Q1 + Q1i = 0 (for zero potential on r=2m shell) >> Q1i=-4C at x=8m; Q2 + Q2i = 0 (for...

(1) I am allowed to place the charges where i am not interested in.(For instance if i am interested in the Outer potential, i will place the image charge inside the shell) (2) For this question , let me interest in outside of shell, my boundary is r=2m. As the system is grounded, i want 0...

Is this because there should not be any extra charge at where the real charge stands. Another issue that i can not handle is How many image charges do i need to have? https://www.physicsforums.com/showthread.php?t=260107" Here you say, the boundary conditions which are zero potential...

Homework Statement A grounded spherical shell has inner radius of 1m. and outer radius of 2m. Q1=1 Coul. is located at x=0.5m and Q2=-2 Coul. is located at x=4m, respectively. Homework Equations Find the charge system to find the potential outside the shell. Find the charge system to find...