Q.

If E→=60 sin(8 x 1010 t-ky)k^ represents the electric field associated with an electromagnetic wave in vacuum, then its magnetic field component can be represented by (Here E, t and y are in V/m, second and meter respectively).

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Detailed Solution

EmBm=c⇒Bm=603 x 108T=20 x 10-8 TDirection of propagation is determined by the direction of E→ x B→.The wave is propagating along y-axis. Since,  k^ x i^=j^,  B→ must be along x-axis.Also E→ and B→ are always in the same phase.
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If E→=60 sin(8 x 1010 t-ky)k^ represents the electric field associated with an electromagnetic wave in vacuum, then its magnetic field component can be represented by (Here E, t and y are in V/m, second and meter respectively).