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What is the magnitude, in newtons per coulomb, of the electric field due to this charge at a distance of 1.37 cm from the center of the sphere?

Answer :

Final answer:

The magnitude of the electric field created by a charge at a distance can be calculated using Coulomb's Law, with the formula E = k|Q|/r². In this formula, E is the electric field, Q is the charge, r is the distance from the charge, and k is Coulomb's Constant.

Explanation:

The subject of your question pertains to the field of Physics, specifically to the concepts of Electrostatics. In this context, the magnitude of the electric field caused by a charge at any distance can be computed using Coulomb's Law. Given the point charge Q creating the field and the distance from the charge, r, the magnitude of the electric field E can be calculated using the equation E = k|Q|/r² where k is Coulomb's constant (approximately equal to 8.99 * 109 Nm²/C²).

For instance, if we have a charge Q and we want to determine the electric field caused by it at a distance r, simply plug these values into the formula and perform the calculations accordingly. It's noteworthy that the electric field strength is measured in newtons per coulomb (N/C).

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Final answer:

The magnitude of the electric field at a given distance from a point charge or uniformly charged sphere can be calculated using Coulomb's law with the equation E = k|Q|/r². To find the electric field at a distance of 1.37 cm, we convert the distance to meters and solve for 'E' using this equation.

Explanation:

The magnitude of an electric field generated by a point charge, or a uniformly charged sphere, can be calculated using Coulomb's law. The equation we use is E = k|Q|/r², where 'E' represents the electric field, 'k' is Coulomb's constant (8.99 × 10^9 N m²/C²), 'Q' is the charge being observed and 'r' is the distance from the center of the sphere.

To find the electric field 1.37 cm, or 0.0137 m, from the center of the sphere, we'll plug in the provided values into our equation: E = k|Q|/r². However, to fully solve for 'E', we need to know 'Q', the charge in the sphere, which isn't provided in the question.

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