If the magnetic field in a plane electromagnetic wav is given by , then what will be expression for electric field?
If the magnetic field in a plane electromagnetic wav is given by , then what will be expression for electric field?
Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">E</mi> </mrow> </mrow> <mo>⃗</mo> </mover> <mo>=</mo> <mfenced separators="|"> <mrow> <mrow> <mn>60</mn> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mo></mo> <mfenced separators="|"> <mrow> <mrow> <mn>1.6</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>3</mn> </mrow> </mrow> </msup> <mi mathvariant="normal">x</mi> <mo>+</mo> <mn>48</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> </msup> <mi mathvariant="normal">t</mi> </mrow> </mrow> </mfenced> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">k</mi> </mrow> </mrow> <mi mathvariant="normal">ˆ</mi> </mover> <mi mathvariant="normal">V</mi> <mo>/</mo> <mi mathvariant="normal">m</mi> </mrow> </mrow> </mfenced> </math> </span></p>
Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi>E</mi> </mrow> </mrow> <mo>⃗</mo> </mover> <mo>=</mo> <mfenced separators="|"> <mrow> <mrow> <mn>3</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </mrow> </msup> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mo></mo> <mfenced separators="|"> <mrow> <mrow> <mn>1.6</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>3</mn> </mrow> </mrow> </msup> <mi>x</mi> <mo>+</mo> <mn>48</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> </msup> <mi>t</mi> </mrow> </mrow> </mfenced> <mover accent="true"> <mrow> <mrow> <mi>i</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>∨</mo> <mo>/</mo> <mi>m</mi> </mrow> </mrow> </mfenced> </math> </span></p>
Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">E</mi> </mrow> </mrow> <mo>⃗</mo> </mover> <mo>=</mo> <mfenced separators="|"> <mrow> <mrow> <mn>9</mn> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mo></mo> <mfenced separators="|"> <mrow> <mrow> <mn>1.6</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>3</mn> </mrow> </mrow> </msup> <mi mathvariant="normal">x</mi> <mo>+</mo> <mn>48</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> </msup> <mi mathvariant="normal">t</mi> </mrow> </mrow> </mfenced> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">k</mi> </mrow> </mrow> <mi mathvariant="normal">ˆ</mi> </mover> <mo>∨</mo> <mo>/</mo> <mi mathvariant="normal">m</mi> </mrow> </mrow> </mfenced> </math> </span></p>
Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi>E</mi> </mrow> </mrow> <mo>⃗</mo> </mover> <mo>=</mo> <mfenced separators="|"> <mrow> <mrow> <mn>3</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </mrow> </msup> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mo></mo> <mfenced separators="|"> <mrow> <mrow> <mn>1.6</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>3</mn> </mrow> </mrow> </msup> <mi>x</mi> <mo>+</mo> <mn>48</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> </msup> <mi>t</mi> </mrow> </mrow> </mfenced> <mover accent="true"> <mrow> <mrow> <mi>j</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>∨</mo> <mo>/</mo> <mi>m</mi> </mrow> </mrow> </mfenced> </math> </span></p>
2 Views|Posted 6 months ago
Asked by Shiksha User
1 Answer
V
Answered by
6 months ago
Correct Option - 3
Detailed Solution:
(speed of light in vacuum)
So,
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According to definition of displacement current, we can write
B0 = 42.9 × 10-9
42.9 Ans
s? = -? + k? ∴ s? = (-? +k? )/√2
I = P/ (4πr²) . (i)
and I = (1/2)ε? E? ²c . (ii)
From (i) and (ii)
P/ (4πr²) = (1/2)ε? E? ²c
E? = √ (2P/ (4πε? r²c) ; E? = √ (9×10? ×2×15)/ (15×15×10? ×3×10? ) = 2×10? ³ V/m
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Physics Electromagnetic Waves 2025
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