Home
Class 11
PHYSICS
The linear charge density on a ring of r...

The linear charge density on a ring of radius R is `lambda=lambda_0 sin (theta)` where `lambda_0` is a constant and `theta` is angle of radius vector of any point on the ring with x-axis. The electric potential at centre of ring is

A

0

B

`(lambda_(0))/(in_(0))`

C

`(lambda_(0))/(piin_(0))`

D

`(lambda_(0))/(2pi in_(0))`

Text Solution

Verified by Experts

The correct Answer is:
A

All the charges are at a distance R.
`:. V=(kq_("net"))/R=0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A thin nonconducting ring of radius R has a linear charge density lambda = lambda_(0) cos varphi , where lambda_(0) is a constant , phi is the azimutahl angle. Find the magnitude of the electric field strength (a) at the centre of the ring , (b) on the axis of the ring as a function of the distance x from its centre. Investegation the obtained function at x gt gt R .

A charge Q is distributed uniformly on a ring of radius R as shown in the following diagrams. Find the electric potential at the centre O of the ring

Knowledge Check

  • The linear charge density on a dielectric ring of radius R vanes with theta as lambda = lambda_0 cos theta//2 , where lambda_0 is constant. Find the potential at the center O of the ring [in volt].

    A
    16
    B
    0
    C
    5
    D
    10
  • A charge Q is uniformly distributed only on the fourths portion of a ring of radius R . The elctric potential at centre of ring is

    A
    `(3 Q)/(4 pi epsilon_(0) R)`
    B
    `(Q)/(4 pi epsilon_(0) R)`
    C
    `(3Q)/(2 pi epsilon_(0) R)`
    D
    `(6Q)/(4 pi epsilon_(0) R)`
  • A half ring of radius r has a linear charge density lambda .The potential at the centre of the half ring is

    A
    `(lambda)/(4epsioln_(0))`
    B
    `(lambda)/(4pi^(2)epsilon_(0)r)`
    C
    `(lambda)/(4piepsilon_(0)r)`
    D
    `(lambda)/(4piepsilon_(0)r^(2))`
  • Similar Questions

    Explore conceptually related problems

    A thin nonconducting ring of radius r has a linear charge density q=q_0costheta , where q_0 is a constant and theta is the angle at the centre from the diameter of maximum charge density in the anticlockwise direction. Find the electric field at the centre of the ring.

    A semicircular wire is uniformly charged with linear charge density dependent on the angle theta from y -direction as lambda=lambda_(0) |sin theta| , where lambda_(0) is a constant. The electric field intensity at the centre of the arc is

    A circle of radius a has charge density given by lambda=lambda_(0)cos^(2)theta on its circumference, where lambda_(0) is a positive constant and theta is the angular position of a point on the circle with respect to some reference line. The potential at the centre of the circle is

    Charges q is uniformly distributed over a thin half ring of radius R . The electric field at the centre of the ring is

    A rod with linear charge density lambda is bent in the shap of circular ring. The electric potential at the centre of the circular ring is