Question

Two charges are located in the xy plane: charge q₁=−2.30nC is located at (x=0.00 m,y=0.720 m); charge q₂=3.80nC is located at (x=1.10 m,y=0.800 m.) Calculate the x and y components, Eₓ and Eᵧ, respectively, of the net electric field E at the origin. The value of the Coulomb force constant is 1/(4πr₀) = 8.99×10⁹ N−m²/C². Eₓ= N/CEᵧ= N/C

Answer 1

To calculate the x and y components of the net electric field at the origin, we need to consider the electric field contributions from both charges q₁ and q₂. The x component of the net electric field (Eₓ) is the sum of the x components of the individual electric fields, and the y component of the net electric field (Eᵧ) is the sum of the y components of the individual electric fields.

Step-by-step explanation:

To calculate the x and y components of the net electric field at the origin, we need to consider the electric field contributions from both charges q₁ and q₂. The electric field due to a point charge is given by the equation E = k * (|q| / r²), where k is the Coulomb force constant, q is the charge, and r is the distance from the charge to the point where we want to calculate the electric field.

Using this equation, we can calculate the electric field due to each charge and then add them together to get the net electric field at the origin.

For charge q₁: E₁ = k * (|q₁| / r₁²)

For charge q₂: E₂ = k * (|q₂| / r₂²)

The x component of the net electric field (Eₓ) is the sum of the x components of the individual electric fields, and the y component of the net electric field (Eᵧ) is the sum of the y components of the individual electric fields.