Question

A normal human heart, beating about once per second, creates a maximum 4.00 mV potential across 0.400 m of a person's chest, producing a 1.00 Hz electromagnetic wave. What is the maximum electric field strength produced? maximum electric field strength: V / m What is the corresponding maximum magnetic field strength in the electromagnetic wave? maximum magnetic field strength: T What is the wavelength of the electromagnetic wave? wavelength:

Answer 1

To solve this problem it is necessary to apply the concepts related to the electric field as a function of voltage and distance, the magnetic field as a function of the speed of light and the electric field and finally the wavelength whose definition is based on the speed of light and frequency.

PART A) The maximum electric field strength produced is,

$E_{max} = \frac{V_{max}}{d}$

$E_{max} = \frac{4mV}{0.4m}$

$E_{max} = \frac{4*10{-3}V}{0.4m}$

$E_{max} = 0.01V/m$

Therefore the maximum electric field strnegth produced is 0.01V/m

PART B) The maximum magnetic field strength in the electromagnetic wave is

$B_{max} = \frac{E_max}}{c}$

$B_{max} = \frac{0.01V/m}{3*10^8m/s}$

$B_{max} = 3.33*10^{-11}T$

Therefore the corresponding maximum magnetic field strengthintheelectromagnetic wave is $3.33*10^{-11}T$

PART C) Wavelength of electromagnetic wave is,

$\lambda f = c$

$\lambda = \frac{c}{f}$

$\lambda = \frac{3*10^8m/s}{1Hz}$

$\lambda = 3*10^8m$

Therefore the wavelength of the electromagnetic wave $3*10^8m$