The electric field of a plane electromagnetic wave is given by Its magnetic field will be given by:
The electric field of a plane electromagnetic wave is given by Its magnetic field will be given by:
Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mfrac> <mrow> <mrow> <msub> <mrow> <mrow> <mi>E</mi> </mrow> </mrow> <mrow> <mrow> <mn>0</mn> </mrow> </mrow> </msub> </mrow> </mrow> <mrow> <mrow> <mi>c</mi> </mrow> </mrow> </mfrac> <mo>(</mo> <mover accent="true"> <mrow> <mrow> <mi>x</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>-</mo> <mover accent="true"> <mrow> <mrow> <mi>y</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>)</mo> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mo></mo> <mo>(</mo> <mi>k</mi> <mi>z</mi> <mo>-</mo> <mi>ω</mi> <mi>t</mi> <mo>)</mo> </math> </span></p>
Option 2 - <p><sup><span class="mathml" contenteditable="false"> <math> <mfrac> <mrow> <mrow> <msub> <mrow> <mrow> <mi>E</mi> </mrow> </mrow> <mrow> <mrow> <mn>0</mn> </mrow> </mrow> </msub> </mrow> </mrow> <mrow> <mrow> <mi>c</mi> </mrow> </mrow> </mfrac> <mo>(</mo> <mover accent="true"> <mrow> <mrow> <mi>x</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>-</mo> <mover accent="true"> <mrow> <mrow> <mi>y</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>)</mo> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">s</mi> <mo></mo> <mo>(</mo> <mi>k</mi> <mi>z</mi> <mo>-</mo> <mi>ω</mi> <mi>t</mi> <mo>)</mo> </math> </span></sup></p>
Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mfrac> <mrow> <mrow> <msub> <mrow> <mrow> <mi>E</mi> </mrow> </mrow> <mrow> <mrow> <mn>0</mn> </mrow> </mrow> </msub> </mrow> </mrow> <mrow> <mrow> <mi>c</mi> </mrow> </mrow> </mfrac> <mo>(</mo> <mo>-</mo> <mover accent="true"> <mrow> <mrow> <mi>x</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>+</mo> <mover accent="true"> <mrow> <mrow> <mi>y</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>)</mo> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mo></mo> <mo>(</mo> <mi>k</mi> <mi>z</mi> <mo>-</mo> <mi>ω</mi> <mi>t</mi> <mo>)</mo> </math> </span></p>
Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mfrac> <mrow> <mrow> <msub> <mrow> <mrow> <mi>E</mi> </mrow> </mrow> <mrow> <mrow> <mn>0</mn> </mrow> </mrow> </msub> </mrow> </mrow> <mrow> <mrow> <mi>c</mi> </mrow> </mrow> </mfrac> <mo>(</mo> <mover accent="true"> <mrow> <mrow> <mi>x</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>+</mo> <mover accent="true"> <mrow> <mrow> <mi>y</mi> </mrow> </mrow> <mi>ˆ</mi> </mover> <mo>)</mo> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mo></mo> <mo>(</mo> <mi>k</mi> <mi>z</mi> <mo>-</mo> <mi>ω</mi> <mi>t</mi> <mo>)</mo> </math> </span><strong> </strong>(EM Waves)</p>
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6 months ago
Correct Option - 1
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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 NCERT Exemplar Solutions Class 12th Chapter Eight 2025
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