Respuesta :
Answer:
Magnitude of magnetic field is 1.5 x 10^(-8) T in the positive y-direction
Explanation:
From maxwell's equations;
B = E/v
Where;
B is maximum magnitude of magnetic field
E is maximum electric field
v is speed of light which has a constant value of 3 x 10^(8) m/s
We are given, E = 4.5 V/m
Thus; B = 4.5/(3 x 10^(8))
B = 1.5 x 10^(-8) T
Now, for Electric field, vector E to be in the positive x-direction, the product of vector E and vector B will have to be in the positive z-direction when vector B is in the positive y-direction
Thus,
Magnitude of magnetic field is 1.5 x 10^(-8) T in the positive y-direction
Magnitude of magnetic field in the space at given instant in time is [tex]\bold { 1.5 x 10^{-8}\ T}[/tex] in the positive y-direction.
From Maxwell's equations,
[tex]\bold {B = \dfrac Ev}[/tex]
Where;
B - maximum magnitude of magnetic field = ?
E- maximum electric field = 4.5 V/m
v- speed of light = 3 x 10^(8) m/s
Put the values in the formula,
[tex]\bold {B = \dfrac {4.5}{3 x 10^8}}\\\\\bold {B = 1.5 x 10^{-8}\ T}[/tex]
When Electric field, is in the positive x-direction, vector B is in the positive y-direction and the product of vector E and vector B will have to be in the positive z-direction.
Therefore, magnitude of magnetic field in the space at given instant in time is [tex]\bold { 1.5 x 10^{-8}\ T}[/tex] in the positive y-direction.
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