JEE Mains · Physics · STD 12 - 8. Electromagnetic waves
The electric field of an electromagnetic wave in free space is represented as \(\vec{E}=E_0 \cos (\omega t-k z) \hat{i}\). The corresponding magnetic induction vector will be _______.
- A \(\vec{B}=E_0 C \cos (\omega t-k z) \hat{j}\)
- B \(\vec{B}=\frac{E_0}{C} \cos (\omega t-k z) \hat{j}\)
- C \(\vec{B}=E_0 \operatorname{Cos}(\omega t+k z) \hat{j}\)
- D \(\vec{B}=\frac{E_0}{C} \cos (\omega t+k z) \hat{j}\)
Answer & Solution
Correct Answer
(B) \(\vec{B}=\frac{E_0}{C} \cos (\omega t-k z) \hat{j}\)
Step-by-step Solution
Detailed explanation
Given \(\vec{E}=E_0 \cos (\omega t-k z) \hat{i}\) \( \vec{B}=\frac{E_0}{C} \cos (\omega t-k z) \hat{j} \) \( \hat{C}=\hat{E} \times \hat{B}\)
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