Electric Energy stored in the sphere \(\displaystyle{E}={\left({\frac{{{1}}}{{{2}}}}\right)}{C}{V}^{{2}}\)

where \(\displaystyle{C}={4}\pi\epsilon_{{0}}{r}\)

for this problem for the first sphere \(\displaystyle{E}_{{1}}={\frac{{{1}}}{{{2}}}}{C}_{{1}}{{V}_{{1}}^{{2}}}\)

\(\displaystyle{C}_{{1}}={4}\pi\epsilon_{{0}}{r}_{{1}}\)

\(\displaystyle{E}_{{1}}={\frac{{{1}}}{{{2}}}}{4}\pi\epsilon_{{0}}{\left({0.131}{m}\right)}{\left({89.6}{V}\right)}^{{2}}\)

\(\displaystyle={\left({0.5}\right)}{\left({4}\cdot{3.14}\cdot{8.85}\cdot{10}^{{-{12}}}\right)}{\left({0.131}{m}\right)}{\left({89.6}{V}\right)}^{{2}}\)

for this problem forthe second sphere \(\displaystyle{E}_{{2}}={\frac{{{1}}}{{{2}}}}{C}_{{2}}{{V}_{{2}}^{{2}}}\)

\(\displaystyle{C}_{{2}}={4}\pi\epsilon_{{0}}{r}^{{2}}\)

\(\displaystyle{E}_{{2}}={\frac{{{1}}}{{{2}}}}{\left({4}\pi\epsilon_{{0}}\right)}{\left({0.155}{m}\right)}{\left({89.6}{V}\right)}^{{2}}\)

\(\displaystyle={\left({0.5}\right)}{\left({4}\cdot{3.14}\cdot{8.85}\cdot{10}^{{-{12}}}\right)}{\left({0.155}{m}\right)}{\left({78.3}{V}\right)}^{{2}}\)

the electric energy contained in this space E=E1-E2

where \(\displaystyle{C}={4}\pi\epsilon_{{0}}{r}\)

for this problem for the first sphere \(\displaystyle{E}_{{1}}={\frac{{{1}}}{{{2}}}}{C}_{{1}}{{V}_{{1}}^{{2}}}\)

\(\displaystyle{C}_{{1}}={4}\pi\epsilon_{{0}}{r}_{{1}}\)

\(\displaystyle{E}_{{1}}={\frac{{{1}}}{{{2}}}}{4}\pi\epsilon_{{0}}{\left({0.131}{m}\right)}{\left({89.6}{V}\right)}^{{2}}\)

\(\displaystyle={\left({0.5}\right)}{\left({4}\cdot{3.14}\cdot{8.85}\cdot{10}^{{-{12}}}\right)}{\left({0.131}{m}\right)}{\left({89.6}{V}\right)}^{{2}}\)

for this problem forthe second sphere \(\displaystyle{E}_{{2}}={\frac{{{1}}}{{{2}}}}{C}_{{2}}{{V}_{{2}}^{{2}}}\)

\(\displaystyle{C}_{{2}}={4}\pi\epsilon_{{0}}{r}^{{2}}\)

\(\displaystyle{E}_{{2}}={\frac{{{1}}}{{{2}}}}{\left({4}\pi\epsilon_{{0}}\right)}{\left({0.155}{m}\right)}{\left({89.6}{V}\right)}^{{2}}\)

\(\displaystyle={\left({0.5}\right)}{\left({4}\cdot{3.14}\cdot{8.85}\cdot{10}^{{-{12}}}\right)}{\left({0.155}{m}\right)}{\left({78.3}{V}\right)}^{{2}}\)

the electric energy contained in this space E=E1-E2