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JEE Mains · Physics · STD 12 - 8. Electromagnetic waves

A plane electromagnetic wave of frequency \(20\,MHz\) propagates in free space along \(x\)-direction. At a particular space and time, \(\overrightarrow{ E }=6.6 \hat{ j } V / m\). What is \(\overrightarrow{ B }\) at this point?

  1. A \(-2.2 \times 10^{-8} \hat{ i }\,T\)
  2. B \(2.2 \times 10^{-8} \hat{ k }\,T\)
  3. C \(-2.2 \times 10^{-8} \hat{ k }\,T\)
  4. D \(2.2 \times 10^{-8} \hat{ i }\,T\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2.2 \times 10^{-8} \hat{ k }\,T\)

Step-by-step Solution

Detailed explanation

\(\overrightarrow{ E }=6.6 \hat{ j }\) \(v=20\,MHz\) \(\overrightarrow{ c }=3 \times 10^8 \hat{ i }\) \(|\overrightarrow{ B }|=\frac{|\overrightarrow{ E }|}{ c }=2.2 \times 10^{-8}\,T\) \(\hat{ E } \times \hat{ B }=\hat{ c }\)…
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