A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static.

The value of V can be related with m, B and r as

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. Net torque applied by the tension in strings can be related as

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. Net torque applied by the tension in strings can be related as

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. In static condition, find the current through rod PC.

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. In static condition, find the current through rod PC.

For a uniform ring of mass M and radius R at its centre

For a uniform ring of mass M and radius R at its centre

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity omega . Its kinetic energy is

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity omega . Its kinetic energy is

A uniform rod of mass M and length L with two particles m and m_(2) attached to its ends, is pivoted at its centre. The system rotates in a vertical plane with angular velocity omega .