Question 129: EM waves

Question

If the magnetic field in a plane electromagnetic wave is given by
$\overrightarrow B $ = 3 $ 	imes $ 10
-8
sin(1.6 $ 	imes $ 10
3
x + 48 $ 	imes $ 10
10
t)$\widehat j$ T, then what will be expression for electric field ?

Accepted Answer

Given $\overrightarrow B $ = 3 $ 	imes $ 10
-8
sin(1.6 $ 	imes $ 10
3
x + 48 $ 	imes $ 10
10
t)$\widehat j$ T
We know, ${{{E_0}} \over {{B_0}}} = c$
$ \Rightarrow $ E
0
= (3 $ 	imes $ 10
-8
) $ 	imes $ (3 $ 	imes $ 10
-8
) = 9 V/m
$ 	herefore $ $\overrightarrow E $ = (9sin(1.6 $ 	imes $ 10
3
x + 48 $ 	imes $ 10
10
t)$\widehat k$ V/m)

Answer

$\overrightarrow E $ = (9sin(1.6 $ 	imes $ 10
3
x + 48 $ 	imes $ 10
10
t)$\widehat k$ V/m)

Answer

$\overrightarrow E $ = (60sin(1.6 $ 	imes $ 10
3
x + 48 $ 	imes $ 10
10
t)$\widehat k$ V/m)

Answer

$\overrightarrow E $ = (3 $ 	imes $ 10
-8
sin(1.6 $ 	imes $ 10
3
x + 48 $ 	imes $ 10
10
t)$\widehat i$ V/m)

Answer

$\overrightarrow E $ = (3 $ 	imes $ 10
-8
sin(1.6 $ 	imes $ 10
3
x + 48 $ 	imes $ 10
10
t)$\widehat j$ V/m)

EM waves

If the magnetic field in a plane electromagnetic wave is given by \overrightarrow B = 3 \times 10 -8 sin(1.6 \times 10 3 x + 48 \times 10 10 t)\widehat j T, then what will be expression for electric field ?

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