Home
Class 12
PHYSICS
A wire loop formed by joining two semici...

A wire loop formed by joining two semicircular wires of radii `R_1` and `R_2` carries a current I as shown in figure. Find the magnetic field induction at the centre O.

Text Solution

Verified by Experts

The magnetic field induction at O due to current through both the semi circular loops will be in the same direction which is perpendicular to the current loop, downwards. Thus total magnetic field induction at O is
`B=B_1+B_2=(mu_0)/(4pi)(piI)/(R_1)+(mu_0)/(4pi)(piI)/(R_2)`
`=(mu_0I)/(4)[(1)/(R_1)+(1)/(R_2)]`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Conceptual Problems (d)|2 Videos

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Very Short Answer Questions (a)|2 Videos

  • ELECTROSTATICS

    PRADEEP|Exercise ASSERTION-REASON TYPE QUESTIONS|2 Videos

  • OPTICS

    PRADEEP|Exercise Multiple choice questions|1 Videos

Similar Questions

Explore conceptually related problems

The wire loop PQRSP formed by joining two semicircular wires of radii R_(1) and R_(2) carries a current I as shown . The magnitude of the magnetic induction at the center C is ………..

Two wire loop PQRSP formed by joining two semicircular wires of radii R_(1) and R_(2) carries a current i as shown in the figure given below. What is the magnetic field induction at the centre O in cases (A) and (B) ?

The circular loop PQRSTP formed by two circular segments of radii R_1 and R_2 , carries a current I . What is the magnetic field induction at the centre O? What will be the magnetic field induction at O if alpha=90^@ ?

A long wire having a semi-circular loop of radius r carries a current I, as shown in Fig. Find the magnetic field due to entire wire.

The current-loop PQRSTP formed by two circular segments of radii R_(1) and R_(2) carries a current of I ampers. Find the magnetic field at the common centre O. what will be the field if angle alpha = 90^(@) ?

A conductor carrying current I is of the type as shown in figure. Find the magnetic field induction at the common centre O of all the three arcs.

In the figure shown there are two semicircles of radii r_(1) and r_(2) in which a current i is flowing. The magnetic induction at the centre O will be

The wire loop shown in figure carries a current as shown. The magnetic field at the centre O is ,