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Proj.j. Prakash asked Vijit whether the average energy density of the electric field and magnetic field are equal or not ? Viji said ''yes''. Justify the answer. |
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Answer» Solution :Velocity, `C=(1)/(SQRT(mu_(0)epsilon_(0)))` and `B_(0)=(E_(0))/(c )` Amplitude of oscillating electric field `= E_(0)` Amplitude of oscillating MAGNETIC field `= B_(0)` Average energy density in E field `= (1)/(2)epsilon_(0)E_(0)^(2)` Average energy density in B field `= (1)/(2mu_(0))B_(0)^(2)` `((1)/(2mu_(0)))B_(0)^(2)=(1)/(2mu_(0))(E_(0)^(2))/(c^(2))=((1)/(2mu_(0)))mu_(0)epsilon_(0)E^(2)=(1)/(2)epsilon_(0)E^(2)` `therefore V_(B)=V_(E )` HENCE the proof. |
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