A 1.5 m cylinder of radius 1.1 cm is made of a complicated mixture materials. Its resistivity depends on the distance x from the left and obeys the formula p(x)=a+bx^2, where a and b are constants. At the left, the resistivity is 2.25*10^-8 ohms*m, while at the right end its 8.5*10^-8 ohms*m

a)What is the resistance of the rod?
b)what is the electric field at its midpoint if it carries a 1.75-A current?
c) If we cut the rod into two 75-cm halves, what is the resistance of each half?

a)μΩ

b)

c)Ω

here * stand for multiplication

Explanation:

length of cylinder = 1.5 m

radius of cylinder  =  1.1 cm

resistivity depends on the distance x from the left

............(i)

using equation

let dR is the resistance of thickness dx

where p(x) is resistivity  l is length

a is area

.........................(2)

after integration

 ...............(3)

it is given Ωm

 = Ωm

(here * stand for multiplication )

on solving we get

Ωm

put each value of a  and b and r value in equation 3rd we get

Ω

μΩ

FOR (b)

for mid point  x = L/2

E = p(x)L

for x = L/2

for given current  I = 1.75 A

so electric field

by substitute the values

we get;

(here * stand for multiplication )

c ).

75 cm means length will be half

 that is   x =  L/2

integrate  the second equation with upper limit  L/2  

Let resistance is

so after integration we get

substitute the value of a , b and L we get

Ω

for second half resistance

Ω

(here * stand for multiplication )

a small object of mass 3.66 g and charge -17.6 µc is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. what are the magnitude and direction of the electric field?

depends on what you mean by "group." for order, it would be coleoptera (beetles). for class, it would be insecta (insects). for phylum, it would be the arthropoda (animals with jointed exoskeletons).

explanation: