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The electric field of an electromagnetic wave in free space is \(\vec{\mathrm{E}}=57\cos \left[7.5\times {10}^{6}\mathrm…

Q1

The electric field of an electromagnetic wave in free space is

\(\vec{\mathrm{E}}=57\cos \left[7.5\times {10}^{6}\mathrm{t}-5\times {10}^{-3}(3x+4y)\right](4\overset{^}{i}-3\overset{^}{j})N/C.\)

The associated magnetic field in Tesla is

[JEE Main 2025, 23 Jan (Shift 1)]

a

\(\vec{\mathrm{B}}=-\frac{57}{3\times {10}^{8}}\cos \left[7.5\times {10}^{6}\mathrm{t}-5\times {10}^{-3}(3x+4y)\right](\overset{^}{k})\)

b

\(\vec{\mathrm{B}}=\frac{57}{3\times {10}^{8}}\cos \left[7.5\times {10}^{6}\mathrm{t}-5\times {10}^{-3}(3x+4y)\right](5\overset{^}{k})\)

c

\(\vec{\mathrm{B}}=-\frac{57}{3\times {10}^{8}}\cos \left[7.5\times {10}^{6}\mathrm{t}-5\times {10}^{-3}(3x+4y)\right](5k)\\\)

d

\(\vec{\mathrm{B}}=\frac{57}{3\times {10}^{8}}\cos \left[7.5\times {10}^{6}\mathrm{t}-5\times {10}^{-3}(3x+4y)\right](\overset{^}{k})\)

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