The magnetic field in the plane electromagnetic wave is given by
`B_(z)=2xx10^(-7) sin(0.5xx10^(3)x+1.5xx10^(11)t)` tesla.
The expression for electric field will be:

Options

A. `E_(y)=2xx10^(-7)sin(0.5xx10^(3)z+1.5xx10^(11)t)`
B. `E_(x)=2xx10^(-7)sin(0.5xx10^(3)z+1.5xx10^(11)t)`
C. `E_(y)=60sin(0.5xx10^(3)z+1.5xx10^(11)t)`
D. `E_(x)=60sin(0.5xx10^(3)z+1.5xx10^(11)t)`

Answer

D

Explanation

Since electromagnetic wave is propagating along z - direction and magnetic field is along y - direction, therefore electric field will be along x - direction.
Here, `E_(0)=cB_(0)=(3xx10^(8))xx(2xx10^(-7))=60Vm^(-1)`
Thus, `E_(x)=60sin(0.5xx10^(3)z+1.5xx10^(11)t)Vm^(-1)`