| Download
All published worksheets from http://sagenb.org
Project: sagenb.org published worksheets
Views: 168822Image: ubuntu2004
V(x,y,z)= {4V_{0} \over \pi} \sum\limits_{m=0}^\infty\frac{\sin\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi x\right) \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi y\right)}{{\left(2 \, m + 1\right)} \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi\right)}
V(x,y,z)= {4V_{0} \over \pi} \sum\limits_{m=0}^\infty\frac{\sin\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi x\right) \sinh\left(-\frac{1}{2} \, {\left(y - 1\right)} {\left(2 \, m + 1\right)} \pi\right)}{{\left(2 \, m + 1\right)} \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi\right)} + \frac{\sin\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi x\right) \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi y\right)}{{\left(2 \, m + 1\right)} \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi\right)}
V(x,y,z)= {4V_{0} \over \pi} \sum\limits_{m=0}^\infty\frac{\sin\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi x\right) \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi y\right)}{{\left(2 \, m + 1\right)} \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi\right)} + \frac{\sin\left({\left(2 \, m + 1\right)} \pi y\right) \sinh\left(\frac{1}{4} \, {\left(2 \, m + 1\right)} \pi x\right)}{{\left(2 \, m + 1\right)} \sinh\left(\frac{1}{2} \, {\left(2 \, m + 1\right)} \pi\right)}