Home
Class 12
PHYSICS
A very long, strainght, thin wire carrie...

A very long, strainght, thin wire carries `-3.60 nCm^(-1)` of fixed negative charge. The wire is to be surrounded by a uniform cylinder of positive charge, radius 1.50 cm, coaxial with the wire. The volume charge density `rho` of the cylinder is to be selected is zero. Calculate the required positive charge density `rho` (in `muCm^(-3)`).

A

6

B

7

C

5

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
We don't really need ot write an interal, we juset need the charge per unit length in the cyliner to be equal to zero. This means that the positive charge in cylinder must be `+3.60 nC m^(-1).` This positive charge is uniformaly distributned in a circle of radius `R=1.50` cm, so
`rho =(3.60nC m^(-1))/(piR^(2))=(3.60nCm^(-1))/(pi(0.015m)^(2))=5 muC m^(-3).`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    NCERT FINGERTIPS|Exercise NCERT Exemplar|5 Videos

  • ELECTRIC CHARGES AND FIELDS

    NCERT FINGERTIPS|Exercise EXEMPLAR PROBLEMS|1 Videos

  • ELECTRIC CHARGES AND FIELDS

    NCERT FINGERTIPS|Exercise HOTS|1 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • ELECTROMAGNETIC INDUCTION

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

According to early model of an atom,the atom is considered it to have a positively charged point nucleus of charge Ze surrounded by a uniform density of negative charge up to a radius R . The atom as a whole is neutral. The electric field at a distance r from the nucleus is (r lt R)

An early model for an atom considered to have a positively charged point nucleus of charge Ze surrounded by a uniform density of negative charge up to a radius R. The atom as a whole is neutral. For this model, what is the electric field a distance r from the nucleus, where r gt R ?

A copper rod of cross sectional area A carries a uniform current I through it. At temperature T if the volume charge density of the rod is rho how long will the charges take to travel a distance d?

An infinity long cylinder of radius R has an infinitely long cylindrical cavity of radius (R)/(2) are shown in the figure. The remaining portion has uniform volume charge density rho . The magnitude of electrical field at the centre of the cavity is-

A sphere of radius R_(0 carries a volume charge density proportional to the distance (x) from the origin, rho=alpha x where alpha is a positive constant.The total charge in the sphere of radius R_(0) is

A charged belt 60 cm wide, travels at 20 ms^(-1) between a source of charge and a sphere. The belt carries charges into the sphere at a rate corresponding to 120 mu A . Calculate the surface charge density of the belt.

A very long uniformly charged wire oriented along the axis of a circular ring of radius R rests on its centre with one of the ends (as shown in figure). The linear charge density on the wire is lambda . Evalute the flux of the vector vecE across the circle area.

Figure shows a long wire having uniform charge density lambda as shown in figure. Calculate electric field intensity at point P.