document.write( "Question 1088684: The intensity (I) of a radio signal varies inversely as the square of the distance (d) from the transmitter. If the intensity is 23 W/m^2 at a distance from the transmitter of 2 km, what is the intensity st a distance of 6 km? \n" ); document.write( "
Algebra.Com's Answer #703018 by mathmate(429)![]() ![]() You can put this solution on YOUR website! Question: \n" ); document.write( "The intensity (I) of a radio signal varies inversely as the square of the distance (d) from the transmitter. If the intensity is 23 W/m^2 at a distance from the transmitter of 2 km, what is the intensity st a distance of 6 km? \n" ); document.write( " \n" ); document.write( "Solution: \n" ); document.write( "Given: \n" ); document.write( "I(d)=k/d^2 => k=I(d)*d^2 \n" ); document.write( "23=k/2^2=k/4 \n" ); document.write( "Need I(6).\r \n" ); document.write( "\n" ); document.write( "k=I(6)*6^2=23*2^2 \n" ); document.write( "Solve for I(6) \n" ); document.write( "I(6)=(23*2^2)/6^2=23/9 \n" ); document.write( "= 2.56 approx. \n" ); document.write( " \n" ); document.write( "Answer: the intensity at 6km is 2.56 W/m^2 \n" ); document.write( " |