Question

If at a particular instant and at a certain point in space the electric field is in the x-direction and has a magnitude of 5.00 V/mV/m, what is the magnitude of the magnetic field of the wave at this same point in space and instant in time

Answer 1

the magnitude of the magnetic field of the wave is 16.7 nT

Step-by-step explanation:

Given the data in the question;

Electric field E = 5.00 V/m

we know that the expression for the electric field of an electromagnetic wave in terms if magnetic field is;

E = cB

where c is the speed of light ( 3 × 10⁸ m/s )

and B is the magnetic field

so we solve for the magnetic field

B = E / c

we substitute in the value of E and c

B = (5.00 V/m) / (3 × 10⁸ m/s)

B = 1.67 × 10⁻⁸ T

B = 1.67 × 10⁻⁸ T
`( (1nT)/(10^(-9)T) )`

B = 16.7 nT

Therefore, the magnitude of the magnetic field of the wave is 16.7 nT