Question 127: EM waves

Question

If the magnetic field in a plane electromagnetic wave is given by
$$\overrightarrow B $$ = 3 $$ 	imes $$ 10-8 sin(1.6 $$ 	imes $$ 103x + 48 $$ 	imes $$ 1010t)$$\widehat j$$ 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 $$ 	imes $$ 103x + 48 $$ 	imes $$ 1010t)$$\widehat k$$ V/m)

Answer

$$\overrightarrow E $$ = (60sin(1.6 $$ 	imes $$ 103x + 48 $$ 	imes $$ 1010t)$$\widehat k$$ V/m)

Answer

$$\overrightarrow E $$ = (3 $$ 	imes $$ 10-8 sin(1.6 $$ 	imes $$ 103x + 48 $$ 	imes $$ 1010t)$$\widehat i$$ V/m)

Answer

$$\overrightarrow E $$ = (3 $$ 	imes $$ 10-8 sin(1.6 $$ 	imes $$ 103x + 48 $$ 	imes $$ 1010t)$$\widehat j$$ V/m)

EM waves

If the magnetic field in a plane electromagnetic wave is given by $\overrightarrow B = 3 \times 10-8 sin(1.6 \times 103x + 48 \times 1010t)\widehat j$ T, then what will be expression for electric field ?

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