Television frequencies are of the order of 100 MHz , while radio frequencies are of the order of 1 MHz . Using these as typical frequencies, the ratio of the emf generated in a loop antenna by a television wave to that generated by a radio wave, if both have equal electric field intensities.

Step-by-step solution

The emf E induced in a loop antenna by an electromagnetic wave is proportional to the rate of change of magnetic flux through the loop, which is given by Faraday's law E = - d dt . The magnetic field B of an electromagnetic wave is related to the electric field E by B = E c , where c is the speed of light. The magnetic flux through the loop is = B A = E c A , where A is the area of the loop. The induced emf is E = d dt ( E A c ) . Since E = E₀ ( t) , the derivative is E = A c E₀ ( t) . The amplitude of the induced