A) \[{{U}_{E}}<{{U}_{B}}\]
B) \[{{U}_{E}}=\,\frac{{{U}_{B}}}{2}\]
C) \[{{U}_{E}}={{U}_{B}}\]
D) \[{{U}_{E}}>{{U}_{B}}\]
Correct Answer: C
Solution :
Energy density in electric field \[{{U}_{E}}=\frac{1}{2}\,{{\varepsilon }_{0}}{{E}^{2}}\] Energy density in magnetic field \[{{U}_{B}}=\frac{1}{2}\,\frac{{{B}^{2}}}{{{\mu }_{0}}}\] \[\frac{{{U}_{E}}}{{{U}_{B}}}\,=\,\frac{{{\mu }_{0}}{{\varepsilon }_{0}}{{E}^{2}}}{{{B}^{2}}}\,=\,\frac{{{C}^{2}}}{{{C}^{2}}}\,=\,1\] \[C=\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}and\frac{E}{B}=C\]
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