The electric field of a radio wave is given by E-E0sin kz- t - - - Give a unit vector in the direction of the magnetic field at a place and time where sin kz- t is positive-

Given, nbsp; E=E_0sin ( kz ω t ) ( î +ĵ ) The unit vector of electric field is, ( î+ĵ )√(2) E×B is in direction of wave propagation Given, sin ( kz ω t ...

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Standard XII

Physics

The Experimental Setup

The electric ...

Question

The electric field of a radio wave is given by $\to E = E_{0} sin (k z - ω t) (^i +^j) .$ Give a unit vector in the direction of the magnetic field at a place and time where $sin (k z - ω t)$ is positive.

\frac{(^i +^k)}{\sqrt{2}}

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\frac{(-^i -^k)}{\sqrt{2}}

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\frac{-^i +^j}{\sqrt{2}}

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\frac{^i -^k}{\sqrt{2}}

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Solution

The correct option is C $\frac{-^i +^j}{\sqrt{2}}$
Given,

$\to E = E_{0} sin (k z - ω t) (^i +^j)$

The unit vector of electric field is,

$\frac{(^i +^j)}{\sqrt{2}}$

$\to E \times \to B$ is in direction of wave propagation

Given, $sin (k z - ω t) is + v e,$ Thus unit vector in the direction of $\to B$ will be in the same plane $⊥ \to E$

Therefore, the unit vector along magnetic field is,

$\frac{-^i +^j}{\sqrt{2}}$

 Hence, $(C)$ is the correct answer.

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The electric field of a radio wave is given by →E=E0sin(kz−ωt)(^i+^j). Give a unit vector in the direction of the magnetic field at a place and time where sin(kz−ωt) is positive.

The electric field of a radio wave is given by $\to E = E_{0} sin (k z - ω t) (^i +^j) .$ Give a unit vector in the direction of the magnetic field at a place and time where $sin (k z - ω t)$ is positive.