An electromagnetic wave has an electric field given by the expression in Cartesian co-ordinates- E x - t -6-0 cos1-4 - 107 x -3-43 - -1015 t - What is the direction of the magnetic field at time t -0 and position x -0 - A- - XB- - xC- -yD- -y

The correct option is D y∵E×B nbsp; || nbsp; V nbsp; where V represents the direction of propogation. Given that wave is propagating along + x axis an ...

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Standard XII

Physics

Electromagnetic Waves

An electromag...

Question

An electromagnetic wave has an electric field given by the expression (in Cartesian co-ordinates) : $\to E (x, t) = 6.0 cos (1.4 \times 10^{7} x - 3.43 \times 10^{15} t)^z$ . What is the direction of the magnetic field at time t = 0 and position x = 0 ?

-x

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-y

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Solution

The correct option is C -y
$∵ \to E \times \to B | | \to V$
where $\to V$ represents the direction of propogation.
Given that wave is propagating along + x-axis and $\to E$ along z-axis.
Hence $\to E \times \to B = +^i$
$\Rightarrow^k \times \to B = +^i \Rightarrow \to B is along -^j$

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An electromagnetic wave has an electric field given by the expression (in Cartesian co-ordinates) : →E(x,t)=6.0 cos(1.4×107x−3.43×1015t)^z. What is the direction of the magnetic field at time t = 0 and position x = 0 ?

The correct option is C -y∵→E×→B || →V where →V represents the direction of propogation. Given that wave is propagating along + x-axis and →E along z-axis. Hence →E×→B=+^i ⇒^k×→B=+^i⇒→B is along−^j

An electromagnetic wave has an electric field given by the expression (in Cartesian co-ordinates) : $\to E (x, t) = 6.0 cos (1.4 \times 10^{7} x - 3.43 \times 10^{15} t)^z$ . What is the direction of the magnetic field at time t = 0 and position x = 0 ?

The correct option is C -y
$∵ \to E \times \to B | | \to V$
where $\to V$ represents the direction of propogation.
Given that wave is propagating along + x-axis and $\to E$ along z-axis.
Hence $\to E \times \to B = +^i$
$\Rightarrow^k \times \to B = +^i \Rightarrow \to B is along -^j$