In the figure a butterfly net is in a uniform electric field of magnitude E = 3.7 mN/C. The rim, a circle of radius a = 6.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting. In the figure, a butterfly net is in a uniform electric field of magnitude \( E = 3.7 \, \text{mN/C} \). The rim, a circle of radius \( a = 6.1 \, \text{cm} \), is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.#### Explanation of the Diagram:- The diagram shows a butterfly net placed within a field of parallel lines, representing the uniform electric field.- Arrows in the field indicate the direction of the electric field, which is perpendicular to the plane of the net's opening.- The opening of the net is circular with the given radius of 6.1 cm.#### Solution Box:- There's a box indicating the calculation result with the entry: - **Number**: \( 0.042 \, E^{-3} \) - **Units**: \( \text{N} \cdot \text{m}^2/\text{C} \)This part represents the calculation for the electric flux, which is based on the formula: \[\Phi = E \cdot A = E \cdot \pi a^2\]where:- \( \Phi \) is the electric flux.- \( E \) is the electric field strength.- \( A \) is the area of the circle.- \( a \) is the radius of the circle.

Given data: Electric field (E) = 3.7 mN/C = 3.7 × 10-3 N/C Radius (r) = 6.1 cm = 6.1 × 10-2 m Net…

In the figure a butterfly net is in a uniform electric field of magnitude E = 3.7 mN/C. The rim, a circle of radius a = 6.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.

In the figure a butterfly net is in a uniform electric field of magnitude E = 3.7 mN/C. The rim, a circle of radius a = 6.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Note: 1 fC = 1 x 1015 C 2. In the figure a nonconducting rod of length L = 8.21 cm has charge -q = -4.33 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.8 cm from the rod? What is the electric field magnitude produced at distance a = 50 m by (d) a particle of charge -q = -4.33 fC that replaces the rod?
A large insulating sheet has a surface charge density of σ = 52.1 nC/m² on it. What is the magnitude of the electric field a point d = 0.0456 mm from the sheet? Give your answer in units of N/C.
In the figure below, a solid sphere, of radius a = 1.80 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net charge q₁ = +7.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = -91 b C (a) What is the magnitude of the electric field at radial distance r = 0? N/C (b) What is the magnitude of the electric field radial distance r = a/4? N/C (c) What is the magnitude of the electric field at radial distance r = a? N/C (d) What is the magnitude of the electric field at radial distance r = 1.60a? N/C (e) What is the magnitude of the electric field at radial distance r = 2.20a? N/C (f) What is the magnitude of the electric field at radial distance r = 3.40a? N/C (g) What is the net charge on the inner surface of the shell? fC (h) What is the net charge on the outer surface of the shell? fC
In the figure a sphere, of radius a = 13.2 cm and charge q = 6.00×10-6 C uniformly distributed throughout its volume, is concentric with a spherical conducting shell of inner radius b = 37.0 cm and outer radius c = 39.0 cm . This shell has a net charge of -q. Find expressions for the electric field, as a function of the radius r, within the sphere and the shell (r< a). Evaluate for r=6.6 cm. Find expressions for the electric field as a function of the radius r, between the sphere and the shell (a< r <b). Evaluate for r=25.1 cm. Find expressions for the electric field as a function of the radius r, inside the shell (b< r <c). Evaluate for r=38.0 cm
The entire y axis is covered with a uniform linear charge density 2.2 nC/m. Determine the magnitude of the electric field on the x axis at x= 5.5 m.
In Figure 2, a sphere of radius r = 0.42 m carries a uniform volume charge density of rho = 2.3 × 10^-10 C/m^2. A spherical cavity of radius 0.21 m is then cut out and left empty as shown in the figure. Points A and C are the centers of the sphere and the spherical cavity, respectively. Find the magnitude and direction of the electric field at point A.
A solid sphere of radius 40.0 cm has a total positive charge of 24.8 μC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (a) 0 cm from the center of the sphere X What would be the direction of this electric field at the origin? kN/C (b) 10.0 cm from the center of the sphere X How much charge is contained within a sphere of radius 10 cm? kN/C (c) 40.0 cm from the center of the sphere X How much of the total charge is contained within a sphere of radius 40 cm? kN/C (d) 62.5 cm from the center of the sphere X Would the field at this point be affected if the charge were moved to a point at the origin? kN/C
A cube has positive charge +Q in all corners except for one, which has a negative point charge - Q. Let the distance from any corner to the center of the cube be r. What is the magnitude and direction of the of electric field at the center of the cube (point P)?
In the figure a butterfly net is in a uniform electric field of magnitude E = 2.2 mN/C. The rim, a circle of radius a = 8.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.
+ a + A hollow sphere has a uniform volume charge density of 1.46 nC/m3. The inner radius is a = 11.7 cm and the outer radius is b = 46.8 cm. What is the magnitude of the electric field at 4.68 cm from the center of the sphere? What is the magnitude of the electric field at 145 cm from the center of the sphere?
8
In the figure a nonconducting rod of length L = 8.39 cm has charge -q = -4.42 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 12.7 cm from the rod? What is the electric field magnitude produced at distance a = 80 m by (d) the rod and (e) a particle of charge -q = -4.42 fC that replaces the rod?