A $negative 4.00$ -nC point charge is at the origin, and a second $-5.00$ -nC point charge is on the $x$ -axis at $x = 0.800$ m. Find the net electric force that the two charges would exert on an electron placed at each point in part (a). Note: Part (a) asked to find the electric field (magnitude and direction) at each of the following points on the $x$ -axis: (i) $x = 0.200$ m; (ii) $x = 1.20$ m; (iii) $x = -0.200$ m.

검증된 단계별 안내

To find the electric field at a point due to a point charge, use the formula: E = (k * |q|) / r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 N m^2/C^2), q is the charge, and r is the distance from the charge to the point.

For point (i) x = 0.200 m, calculate the electric field due to each charge separately. For q1 at the origin, r = 0.200 m. For q2 at x = 0.800 m, r = 0.600 m. Determine the direction of each field: both charges are negative, so the electric field points towards the charges.

For point (ii) x = 1.20 m, calculate the electric field due to each charge. For q1, r = 1.20 m. For q2, r = 0.400 m. Again, determine the direction of each field: both fields point towards the charges.

For point (iii) x = -0.200 m, calculate the electric field due to each charge. For q1, r = 0.200 m. For q2, r = 1.000 m. Determine the direction of each field: both fields point towards the charges.

To find the net electric force on an electron at each point, use F = e * E, where e is the charge of an electron (1.60 x 10^-19 C). Calculate the force using the net electric field found at each point.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

11m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Electric Field

The electric field is a vector field around a charged particle that represents the force exerted per unit charge at any point in space. It is calculated using Coulomb's law, where the electric field E due to a point charge q at a distance r is given by E = k * |q| / r^2, with k being Coulomb's constant. The direction of the field is radially outward for positive charges and inward for negative charges.

Superposition Principle

The superposition principle states that the net electric field due to multiple charges is the vector sum of the electric fields produced by each charge individually. This principle allows us to calculate the total electric field at a point by considering the contribution from each charge separately and then adding them together, taking into account both magnitude and direction.

Electric Force on a Charge

The electric force on a charge in an electric field is given by F = qE, where F is the force, q is the charge, and E is the electric field at the location of the charge. For an electron, which has a negative charge, the direction of the force is opposite to the direction of the electric field. This concept is crucial for determining the net force on a charge placed in the vicinity of other charges.