A) \[{{\text{U}}_{\text{E}}}\text{=}\frac{{{\text{U}}_{\text{B}}}}{\text{2}}\]
B) \[{{\text{U}}_{\text{E}}}\text{}{{\text{U}}_{\text{B}}}\]
C) \[{{\text{U}}_{\text{B}}}\text{}{{\text{U}}_{\text{B}}}\]
D) \[{{\text{U}}_{\text{E}}}\text{=}{{\text{U}}_{\text{B}}}\]
Correct Answer: D
Solution :
| \[B=\frac{E}{C}\] |
| \[\Rightarrow \] \[{{U}_{E}}=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}\] |
| \[{{U}_{B}}=\frac{{{B}^{2}}}{2{{\mu }_{0}}}=\frac{{{E}^{2}}}{2{{\mu }_{0}}{{C}^{2}}}\] |
| \[=\frac{{{E}^{2}}}{2{{\mu }_{o}}}({{\mu }_{0}}{{\varepsilon }_{o}})={{U}_{E}}.\] |
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