Final answer:
To calculate the electric field in a coaxial cable, Gauss's Law should be used due to the cylindrical symmetry of the cable. Ampère's Law, Coulomb's Law, and Faraday's Law are not appropriate for this particular task. Therefore, the correct answer is A) Use Gauss's Law.
Step-by-step explanation:
To find the electric field in all regions of a coaxial cable, the correct approach is to use Gauss's Law. This is because a coaxial cable involves a symmetry that is amenable to the application of Gauss's Law, which is a way to calculate electric fields when the charge distribution has certain symmetries, like cylindrical symmetry in the case of a coaxial cable.
- Identify the spatial symmetry of the charge distribution to choose the correct Gaussian surface.
- With the Gaussian surface chosen, calculate the electric flux through the surface to find the electric field.
While Ampère's Law is integral in determining the magnetic field created by currents in the coaxial cable and is not used for finding the electric field.
Additionally, Coulomb's Law could be used for point charges, not for continuous charge distributions like those in a coaxial cable, and Faraday's Law is relevant for changing magnetic fields inducing electric fields, which is not the scenario for determining the electric field in a coaxial cable with static charges.