A plane electromagnetic wave of frequency 500 MHz is travelling in vaccum along ydirection. At a particular point in space and time, B→=8.0×10−8z^T. The value of electric field at this point is: (speed of light =3×108 ms−1) x^,y^,z^ are unit vectors along x, y and z directions.

E→=B→×C→⇒ E→=8×10−8z^×3×108y^⇒ E→=−24z^y^⇒E→=−24x^Vm

A plane electromagnetic wave of frequency 500 MHz is travelling in vaccum along ydirection. At a particular point in space and time, B→=8.0×10−8z^T. The value of electric field at this point is: (speed of light =3×108 ms−1) x^,y^,z^ are unit vectors along x, y and z directions.

E→=B→×C→⇒ E→=8×10−8z^×3×108y^⇒ E→=−24z^y^⇒E→=−24x^Vm

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A plane electromagnetic wave of frequency 500 MHz is travelling in vaccum along ydirection. At a particular point in space and time, $\vec{B} = 8.0 \times 10^{- 8} \hat{z} T$ . The value of electric field at this point is: (speed of light $= 3 \times 10^{8} m s^{- 1}$ ) $\hat{x}, \hat{y}, \hat{z}$ are unit vectors along x, y and z directions.

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$24 \hat{x} V / m$

$- 2.6 \hat{y} V / m$

$- 24 \hat{x} V / m$

$2.6 \hat{x} V / m$

answer is A.

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Detailed Solution

$\vec{E} = \vec{B} \times \vec{C}$

$\Rightarrow \vec{E} = (8 \times 10^{- 8}) \hat{z} \times (3 \times 10^{8}) \hat{y}$

$\Rightarrow \vec{E} = - 24 \hat{z} \hat{y}$

$\Rightarrow \vec{E} = - 24 \hat{x} \frac{V}{m}$

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A plane electromagnetic wave of frequency 500 MHz is travelling in vaccum along ydirection. At a particular point in space and time, B→=8.0×10−8z^T. The value of electric field at this point is: (speed of light =3×108 ms−1) x^,y^,z^ are unit vectors along x, y and z directions.

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