The value of \({E}_{0}\) is 9.3 V/m and c is 3 × \({10}^{8}\) m/s. Find the value of B 0 . (Shift - II Memory Based)
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The value of \({E}_{0}\) is 9.3 V/m and c is 3 × \({10}^{8}\) m/s. Find the value of B0.
(Shift - II Memory Based)
✓ Correct answer: d)
\(3.1\times {10}^{-8}\)
Explanation
The relationship between the electric field (\({E}_{0}\)) and magnetic field (\({B}_{0}\)) in electromagnetic waves is given by:
\({E}_{0}=c⋅{B}_{0}\)
Rearranging for \({B}_{0}\):
\({B}_{0}=\frac{{E}_{0}}{c}\)
Substitute the given values:
\({B}_{0}=\frac{9.3}{3\times 1{0}^{8}}\)
Simplify:
\({B}_{0}=3.1\times 1{0}^{−8}\text{ }\text{T}\)
Rounding \({B}_{0}\) is approximately 3 (depending on units being normalized for \({B}_{0}\)).
Correct answer: (d).
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