In an electromagnetic wave in free space the root mean square value of the electric field is E rms= 6 V/m. The peak value of the magnetic field is

1.41 × 10–⁸ T

2.83 × 10^–8 T

0.70 × 10^–8 T

4.23 × 10^–8 T

Solution

2.83 × 10^–8 T

straight E subscript rms over straight B subscript rms space equals space straight c straight B subscript rms space equals space straight E subscript rms over straight c space equals space fraction numerator 6 space over denominator 3 space straight x space 10 to the power of 8 end fraction straight B subscript rms space equals space 2 space straight x space 10 to the power of negative 8 end exponent straight B subscript rms space equals space fraction numerator straight B subscript 0 over denominator square root of 2 end fraction straight B subscript 0 space equals space square root of space 2 end root space straight x space straight B subscript rms space equals space square root of 2 space straight x space 2 space straight x space 10 to the power of negative 8 end exponent space equals space 2.83 space straight x space 10 to the power of negative 8 end exponent space straight T

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