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Figure shows a cylinderical wire diamete...

Figure shows a cylinderical wire diameter a, carrying a current I. The current density which is in the direction of the central axis of the wire varies linearly with radias distance V from the axis according to the relation `J = J_0r//a`. Obtain the magnetic field B inside the wire at a distance r' from its centre.

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CHETANA PUBLICATION-Magnetic Fields due to Electric Current-Exercise
  1. Figure shows a cylinderical wire diameter a, carrying a current I. The...

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  2. Find the magnetic induction at a distance of 5 cm from a long straight...

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  3. A flat circular coil of 70 turns and radius 10 cm carriers a current I...

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  4. The number of turns in a circular coil of wire is 10 and average radiu...

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  5. Through a coil of radius 3 cm and 25 turns, a current is passed so as ...

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  6. A circular loop has radius 10 cm and it is carrying a current of 0.1A....

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  7. A charged particle moves with velocity of 3 xx 10^6 m//s at right angl...

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  8. A conductor of length 25 cm is placed:- parallel. It a charge of 1C pa...

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  9. A conductor of length 25 cm is placed:- perpendicular. It a charge of ...

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  10. A conductor of length 25 cm is placed:- inclined at an angle of 30^@ t...

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  11. Find the force per unit length between the parallel wires kept 0.1m ap...

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  12. A long straight wire carries a current of 35 A. What is the magnitude ...

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  13. A solenoid of length 100 cm having 150 turns carries a current of 3A. ...

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  14. A solenoid of length 100 cm having 150 turns carries a current of 3A. ...

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  15. A 50 m long solenoid has 500 turns and produces a magnetic field of 2....

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  16. A rectangular coil of effective area 0.04 m^2 is suspended freely in a...

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  17. A proton is accelerated in a cyclotron in which the magnetic induction...

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  18. In a cyclotron, magnetic field of 3.5 Wb//m^2 is used to accelerate pr...

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  19. A rectangular coil of effective area 0.01 m^2 suspended freely in a ra...

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  20. A 3 cm wire carrying a current of 10 A is placed inside be solenoid pe...

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  21. A square coil of side 10 cm consists of 20 turns and carries a current...

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