For the plane electromagnetic wave given by E = E 0 sin ( ω t – k x ) and B = B 0 sin ( ω t - k x ) , the ratio of average electric energy density to average magnetic energy density is

Question

For the plane electromagnetic wave given by E = E 0 sin ( &#969; t &#8211; k x ) and B = B 0 sin ( &#969; t - k x ) , the ratio of average electric energy density to average magnetic energy density is

Quantrex Academy · Accepted Answer

Correct answer: D. 1

The formula to calculate the average electric energy density is given by U E = 1 2 &#949; 0 E 2 &#160; &#160; &#160; . . . ( 1 ) and, the formula to calculate average magnetic energy density is given by U B = 1 2 &#956; 0 B 2 &#160; &#160; &#160; . . . ( 2 ) For any particular electromagnetic wave, both magnetic and electric field are equally involved in contributing to energy density. Hence, the ratio of average electric energy density to magnetic energy density is 1 .

For the plane electromagnetic wave given by E = E 0 sin ( ω t – k x ) and B = B 0 sin ( ω t - k x ) , the ratio of average electric energy density to average magnetic energy density is

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For the plane electromagnetic wave given by E = E 0 sin ( &#969; t &#8211; k x ) and B = B 0 sin ( &#969; t - k x ) , the ratio of average electric energy density to average magnetic energy density is

Options

Correct answer

Step-by-step solution

More from Electromagnetic Induction

For the plane electromagnetic wave given by E = E 0 sin ( ω t – k x ) and B = B 0 sin ( ω t - k x ) , the ratio of average electric energy density to average magnetic energy density is