The electromagnetic waves that deliver a wireless phone call to your cell phone

Question

The electromagnetic waves that deliver a wireless phone call to your cell phone have a magnetic field with an rms value of 0.15 nano-tesla. The waves pass through an integrated antenna perpendiularly whose area is 0.02m2 a. Calculate how much energy this wave delivers to the cell phone antenna for a call of 5 minute duration. b. What will be the rms value of the electric field associated with the wave whose magnetic field is given above(0.15 nano-tesla) The electromagnetic waves that deliver a wireless phone call to your cell phone have a magnetic field with an rms value of 0.15 nano-tesla. The waves pass through an integrated antenna perpendiularly whose area is 0.02m2 a. Calculate how much energy this wave delivers to the cell phone antenna for a call of 5 minute duration. b. What will be the rms value of the electric field associated with the wave whose magnetic field is given above(0.15 nano-tesla) a. Calculate how much energy this wave delivers to the cell phone antenna for a call of 5 minute duration. b. What will be the rms value of the electric field associated with the wave whose magnetic field is given above(0.15 nano-tesla)

Explanation / Answer

magnitude of magnetic field B = 0.15 nT = 0.15*10^ -9 T Area A = 0.02 m^2 a) intensity I = cB^2 / µ_o where c = speed of light = 3*10^8 m/s µ_o = 4p *10^ -7 therefore intensity I = (3*10^8 m/s )(0.15*10^ -9)^2 / ( 4p*10^ -7 ) = 5.3742*10^ -6 W/ m^2 power P = I A energy E = I A t = ( 5.3742*10^-6 )(0.02m^2)(5*60 s ) = 3.2*10^-5 J b)rms value of magnetic field is B_ rms = 0.15*10^ -9 T rms value of electric field is E _ rms = c ( B_ rms ) = ( 3*10^8 m/s )(0.15*10^ -9 ) = 4.5*10^ -2 N /C

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