A -1.5μC charge experiences a 10i^−N electric force in a certain electric field.
What force would a proton experience in the same field?
My answer of Fx= 4.17 *10^-13 N is wrong.
What am I doing wrong?
How do I get the correct answer?
To find the force experienced by a proton in the given electric field, we can use Coulomb's law. Coulomb's law states that the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The equation can be written as:
𝐹 = 𝑘 * (𝑞₁ * 𝑞₂) / 𝑟²
Where:
𝐹 is the electric force,
𝑘 is the electrostatic constant (approximately 9x10^9 Nm²/C²),
𝑞₁ and 𝑞₂ are the charges of the two objects, and
𝑟 is the distance between the charges.
In this case, the charge of the proton is 1.6x10^-19 C (the elementary charge). You did not provide the magnitude of the electric field, so we'll assume it is given as 10 N/C.
Let's calculate the force experienced by a proton in the same electric field. We'll substitute the values into the equation:
𝐹 = (9x10^9 Nm²/C²) * ((1.5x10^-6 C) * (1.6x10^-19 C)) / 𝑟²
The distance between the charges (𝑟) is not provided, so we cannot calculate the exact force without that information.
Make sure to double-check if you have the correct value for the electric field and whether any other information is given regarding the distance or any other relevant factors.