Q.

The electric field of an electromagnetic wave in free space is
E=57cos7.5×106t5×103(3x+4y)(4i^3j^)N/C
The associated magnetic field in Tesla is-

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a

B=573×108cos7.5×106t5×103(3x+4y)(k^)

b

B=573×108cos7.5×106t5×103(3x+4y)(5k^)

c

B=573×108cos7.5×106t5×103(3x+4y)(k^)

d

B=573×108cos7.5×106t5×103(3x+4y)(5k^)

answer is C.

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Detailed Solution

K=3i^+4j^K^=3i^+4j^5E^=4i^3j^5B^=K^×E^B^=Z^B0=E0C=573×108

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The electric field of an electromagnetic wave in free space isE→=57cos⁡7.5×106t−5×10−3(3x+4y)(4i^−3j^)N/CThe associated magnetic field in Tesla is-