Question

In: Physics

An infinite line of charge with linear density λ1 = 7.2 μC/m is positioned along the...

An infinite line of charge with linear density λ₁ = 7.2 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.2 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = -562 μC/m³.

1) a) What is λ₂, the linear charge density of the insulating shell?____μC/m

b) What is E_x(P), the value of the x-component of the electric field at point P, located a distance 7.9 cm along the y-axis from the line of charge?____N/C

c) What is E_y(P), the value of the y-component of the electric field at point P, located a distance 7.9 cm along the y-axis from the line of charge?___N/C

d) What is E_x(R), the value of the x-component of the electric field at point R, located a distance 1.1 cm along a line that makes an angle of 30^o with the x-axis?_____N/C

e) What is E_y(R), the value of the y-component of the electric field at point R, located a distance 1.1 cm along a line that makes an angle of 30^o with the x-axis?____N/C

f) For how many values of r: (2.2 cm < r < 4.1 cm) is the magnitude of the electric field equal to 0?

none

one

more than one

g) If we were to double λ₁ (λ₁ = 14.4 μC/m), how would E, the magnitude of the electric field at point P, change?

E would double

E would increase by more than a factor of two

E increases by less than a factor of two

E decreases by less than a factor of two

E decreases by more than a factor of two

h) In order to produce an electric field of zero at some point r > 4.1 cm, how would λ₁ have to change?

Change its sign and increase its magnitude

Change its sign and decrease its magnitude

Keep its sign the same and increase its magnitude

Keep its sign the same and decrease its magnitude

Expert Solution

Don't forget to put negative sign with with answer of part a and do let me know in case of any mistake.. I will rectify it asap..

Thank you..

genius_generous answered 1 year ago

A very long uniform line of charge has charge per unit length λ1 = 4.90 μC/m...

A very long uniform line of charge has charge per unit length λ1 = 4.90 μC/m and lies along the x-axis. A second long uniform line of charge has charge per unit length λ2 = -2.52 μC/m and is parallel to the x-axis at y1 = 0.400 m . What is the magnitude of the net electric field at point y2 = 0.200 m on the y-axis? What is the magnitude of the net electric field at point y3 =...

An infinite straight wire has a linear charge density of 10 nC/m. What is the electric...

An infinite straight wire has a linear charge density of 10 nC/m. What is the electric field 0.50 meters away?

Consider a long line of charge with linear charge density lambda = 4 micro C/m and...

Consider a long line of charge with linear charge density lambda = 4 micro C/m and a point charge q = −2 micro C with mass m = 0.1 kg at coordinate 2,3 . The point charge is launched from (2,3) with v= 2000 m/s at an angle of 20° with respect to the x-axis. Find the velocity of the point charge when its x-coordinate is 5.( wire goes to positive infinity Y axis)

A charge (uniform linear density = 6.1 nC/m) lies on a string that is stretched along...

A charge (uniform linear density = 6.1 nC/m) lies on a string that is stretched along an x axis from x = 0 to x = 2.3 m. Determine the magnitude of the electric field at x = 6.5 m on the x axis.

An infinitely long conducting cylinder of radius 2 cm has a linear charge density +3 μC/m...

An infinitely long conducting cylinder of radius 2 cm has a linear charge density +3 μC/m is surrounded by an insulating shell of inner radius 8 cm and outer radius 12 cm. The insulating shell has a net linear charge density of +3 μC/m which may be assumed to be uniformly distributed through its volume What is the electric potential difference (ΔV) between 12 cm and 15 cm? What is the electric potential difference (ΔV) between 8 cm and 12...

A uniform line charge of linear charge density = 2.9 nC/m extends from x = 0...

A uniform line charge of linear charge density = 2.9 nC/m extends from x = 0 to x = 5 m. a) What is the total charge? b) Find the electric field on the x axis at x = 6 m. c)Find the electric field on the x axis at x = 11 m. d)Find the electric field on the x axis at x = 250 m e) Find the field at x = 250 m, using the approximation that...

An infinitely long line of charge has a linear charge density of 5.50×10−12 C/m . A...

An infinitely long line of charge has a linear charge density of 5.50×10−12 C/m . A proton is at distance 15.0 cm from the line and is moving directly toward the line with speed 1100 m/s . How close does the proton get to the line of charge? Express your answer in meters.

A charge (uniform linear density = 15 nC/m) is distributed along the x axis from x...

A charge (uniform linear density = 15 nC/m) is distributed along the x axis from x = 0 to x = 3.0 m. determine the magnitude of the electric field at a point on the x axis with x = 4.0 m

A charge of uniform linear density 2.20 nC/m is distributed along a long, thin, nonconducting rod....

A charge of uniform linear density 2.20 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.00 cm, outer radius = 9.00 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 13.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of...

An infinitely long line of charge has linear charge density 5.00×10−12 C/m . A proton (mass...

An infinitely long line of charge has linear charge density 5.00×10−12 C/m . A proton (mass 1.67×10−27 kg , charge e) is 14.5 cm from the line and moving directly toward the line at 2500 m/s . Calculate the proton’s initial kinetic energy. How close does the proton get to the line of charge? Please show how you got the answer so that I understand. :)