### Electrostatic Force Calculation for Multiple Charges on an AxisIn this exercise, we have two charges:- A charge of +1 μC is placed at the origin (x = 0).- A charge of +13 μC is placed at x = +1 m.We are tasked with determining the magnitude and direction of the net force on a -8 nC charge at various positions on the xy-plane.#### a) **Halfway Between the Two Charges:**- **Position:** Midpoint between 0 m and +1 m, which is x = 0.5 m.- **Required:** - Magnitude of force in mN - Direction of force (choose from provided options)#### b) **On the x-axis at \(x = -0.5\) m:**- **Position:** x = -0.5 m on the x-axis.- **Required:** - Magnitude of force in mN - Direction of force (choose from provided options)#### c) **At the Coordinate \((x, y) = (1 m, 0.5 m)\):**- Located half a meter above the +13 μC charge in a direction perpendicular to the line joining the two fixed charges.- **Hint for (c):** - The direction is given as degrees below the -x axis.- **Required:** - Magnitude of force in mN - Direction in degrees below the -x axisThis problem involves the application of Coulomb’s law to calculate the forces due to each charge at the specified positions. Ensure you use vector addition to find the net force.---For detailed calculations and steps, students are encouraged to revisit the principles of Coulomb’s law, vector addition, and trigonometry. Analyzing each position involves calculating the force exerted by each charge on the -8 nC charge and then combining these forces vectorially to determine both the magnitude and direction of the net force.

Answered: Image /qna-images/answer/de8b95ef-7319-4301-897e-90e55d920555.jpg

Answered: Two charges +1 μC and +13 μC are placed…

Similar questions

How to solve this question
Point charges of q₁ = 6.26 μC and q2 = -5.68 μC are placed on an x axis, at x₁ = 8.45 m and x₂ = 16.0 m, respectively, as shown in the figure below. What charge q3 (sign included) must be placed at x3 = 21.2 m so that any charge 44 placed at the origin would experience no electrostatic force? 43 X₂ It T
Tq
A point charge of 4.1 uC is placed at the origin (x1=0) of the coordinate system, and another charge of -2.5uC is placed on the x-axis at x2=.21m. A) where on the x-axis can a third charge be placed in meters so that the net force on it is zero? B) What if both charges are positive; that is, what if the second charge is 2.5uC?
Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 4.92 nC at the origin. (Let r,2 = 0.225 m.) 6.576e-6 Use Coulomb's law to find the force that each charge exerts on the charge at the origin and combine the forces to magnitude find the net force. N direction ° counterclockwise from the +x axis y 6.00 nC 0.100 m -3.00 nC |
Three point charges, two positive and one negative, each having a magnitude of 22 µC are placed at the vertices of an equilateral triangle (32 cm on a side). +q -9 What is the magnitude of the electro- static force on one of the positive charges? The value of the Coulomb constant is 8.98755 × 10⁹ Nm²/C². Answer in units of N. X Answer in units of N H +q Type here to search 1 * * indicates a slide with a ies O E DOLL Quest Le
Consider the point charges shown below. What will be the magnitude and direction of the force on the 1.0µC charge if the -2.0µC and -3.0µC charges are held in place? -2.0 με 16.0 cm (+ 12.0 cm 1.0 μC -3.0 µC Part A The magnitude of the force on the 1.0uC will be: nνα ΑΣφ F = N Submit Request Answer Part B The point charge will experience the force at an angle of: Πνα ΑΣφ ?
A charge of -2.70 nC is placed at the origin of an xy-coordinate system, and a charge of 2.20 nC is placed on the y axis at y = 3.70 cm. Part B Find the magnitude of this force. F = Part C Find the direction of this force. 0 = I Part A If a third charge, of 5.00 nC, is now placed at the point x = 2.70 cm, y = 3.70 cm find the x and y components of the total force exerted on this charge by the other two charges. Express answers numerically separated by a comma. Fa, Fy= N N ° below the +x axis
The diagram below shows two point charges, A & B. The charge of A is 1.9 nC & the charge of B is -7.1 nC. Determine the magnitude & direction of the net E-field at point P. The distance between A & P is 0.31 m & the distance between B & P is 0.41 m. P WebAssign Plot P ●? 14 cm- Part B: Location of zero E-field Two point charges, A & B (qA = -20 μC & qB = 50 μC), are separated by 14 cm. The electric field at point P (see below) is zero. How far from A is P? A Enet = direction of Enet = B o relative to the HORIZONTAL in quadrant 3
Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 5.28 nC at the origin. (Let r12 = 0.240 m.) Three point charges lie along the axes in the x y-coordinate plane. Positive charge q is at the origin. A charge of 6.00 nC is at (r1 2, 0), where r1 2 > 0. A charge of −3.00 nC is at (0, −0.100 m). magnitude N direction ° counterclockwise from the +x-axis
Five identical point charges, each having charge Q, are equally spaced on a semicircle of radius R as shown in the figure. Find the Force (in terms of k, Q, and R) on a charge q located at the center of the semicircle. See attachments
A positive charge q, = 3.00 µC on a frictionless horizontal surface is attached to a spring of force constant k as in the figure shown below. When a charge of q, = -8.950 µC is placed 9.50 cm away from the positive charge, the spring stretches by 5.00 mm, reducing the distance between charges to d = 9.00 cm. Find the value of k. ww 92 N/m Need Help? Read It

SEE MORE QUESTIONS