Home
Class 12
PHYSICS
Figure shows an Amperian path ABCDA. Par...

Figure shows an Amperian path ABCDA. Part ABC is in vertical plane PSTU while part CDA is in horizontal plane PQRS. Direction of circulation along the path is shown by an arrow near point B and at D. `ointvecB.dvecl` for this path according to Ampere's law will be

A

`(I_1-I_2+I_3)mu_0`

B

`(-I_1+I_2)mu_0`

C

`I_3mu_0`

D

`(I_1+I_2)mu_0`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `oint vecB.dvecl=mu_0(I_1+I_3+I_2-I_3)=mu_0(I_1+I_2)`
[since for the given direction of circulation `I_3` entering at
PSTU is positive while `I_3` at PQRS is negative]
Alternative solution: `oint_(ABCDA) vecB.vec(dl)=oint_(ABCA)vecB.vec(dl)+oint _(CDAC) vecB.vec(dl)`
`=mu_0(I_1+I_3)+mu_0(I_2-I_3)=mu_0(I_1+I_2)`
Promotional Banner

Topper's Solved these Questions

  • SOURCES OF MAGNETIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Exercise (multiple Currect )|5 Videos

  • SOURCES OF MAGNETIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Exercise (assertion-reasioning )|2 Videos

  • SOURCES OF MAGNETIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Exercise (subjective )|10 Videos

  • RAY OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise DPP 1.6|12 Videos

  • WAVE OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Comprehension Type|14 Videos

Similar Questions

Explore conceptually related problems

Assertion A car moves along a road with uniform speed. The path of car lies in vertical plane and shown in fighre. The radius of curvature (R) of the path is same everywhere. If the car does not loose contact with road at the highest point, it can travel the shown path without loosing contact with road anywhere else. Reason For car to loose contact with road, the normal reaction between car and road should be zero.

A small ball of mass m and charge q is attached to the bottom end of a piece of negligible mass thread of length l, whose top end is fixed. The system formed by the thread and ball is in vertical plane and is in uniform horizontal magnetic field B, which is perpendicular to the plane of figure and points into the paper The ball is started with a velocity v_(0) from lower most point of circle in a direction perpendicular both to the magnetic induction and to direction of thread. The ball moves along a circular path such that thread remains tight during the whole motion. Neglect any loss of enery. Choose CORRECT statement

Fig. 12.8 shows a mixed source R of alpha and beta particles in a thick lead walled container. The particles pass through a magnetic field in a direction perpendicular to the plane of paper inwards as shown by x. (a) Show in the diagram how the particles get affected. (b) Name the law used in part (a). [Hint : alpha particles will deflect to the left while beta particles to the right]

Two particles A and V are projected in the vertical plane with same initial velocity u_(0) from part (0,0) and (l,-h) towards each other as shown in figure The path of particle A with respect to particle B will be –

Figure. shows a conducting loop ABCDA placed in a uniform magnetic field (strength B) perpendicular to its plane. The part ABC is the (three-fourth) portion of the square of side length l. The part ADC is a circular arc of radius R. The points A and C are connected to a battery which supplies a current I to the circuit. The magnetic force on the loop due to the field B is

Figure. shows a conducting loop ABCDA placed in a uniform magnetic field (strength B) perpendicular to its plane. The part ABC is the (three-fourth) portion of the square of side length l. The part ADC is a circular arc of radius R. The points A and C are connected to a battery which supplies a current I to the circuit. The magnetic force on the loop due to the field B is

A small ball of mass m and charge q is attached to the bottom end of a piece of negligible mass thread of length l, whose top end is fixed. The system formed by the thread and ball is in vertical plane and is in uniform horizontal magnetic field B, which is perpendicular to the plane of figure and points into the paper The ball is started with a velocity v_(0) from lower most point of circle in a direction perpendicular both to the magnetic induction and to direction of thread. The ball moves along a circular path such that thread remains tight during the whole motion. Neglect any loss of enery. What is the magnitude of magnetic induction B, if the minimum initial speed at which the described motion of ball (complete vertical circular motion) occurs is V_(0)=(1)/(2)sqrt(17gL)

Figure shows three paths connecting points a and b, A single force F does the indicated work on a particle moving along each path in the indicated direction. On the basis of this information, is force F conservative?

ABCDA is a closed loop of conducting wire consisting of two semicircular sections, the part ABCD lying in the XY plane and the part CDA lying in the YZ plane, both the parts having the centre at origin O (see the diagram). This loop is placed in a uniform field vec(B) which varies with time. Radius of the semicircular section is 0.5 m If vec(B) be directed along the +z axis and increases at the rate of 10^(-2) ("Tesla")/("second") . the magnitude and sense of the induced emf in the loop as seen along the field direction will be

A small body is released from point A of smooth parabolic path y=x^(2) , where y is vertical axis and x is horizontal axis at ground, as shown. The body leaves the surface from point B. If g = 10ms^(-2) then what is the value of d (in m)?

CENGAGE PHYSICS ENGLISH-SOURCES OF MAGNETIC FIELD-Exercise (single Correct )
  1. Three infinite current carrying conductors are placed as shown in Fig....

    Text Solution

    |

  2. An equilateral triangular loop is kept near to a current carrying long...

    Text Solution

    |

  3. A particle is moving wirh velocity vecv=hati+3hatj and it produces an ...

    Text Solution

    |

  4. A parallel plate capacitor is moving with a velocity of 25 ms^-1 throu...

    Text Solution

    |

  5. Current I flows around the wire frame along the edge of a cube as show...

    Text Solution

    |

  6. In Fig ABCDEFA was a square loop of side l, but is folded in two equal...

    Text Solution

    |

  7. If the magnetic field at P can be written as K tan (alpha/2),

    Text Solution

    |

  8. The magnetic field at the origin due to the current flowing in the wir...

    Text Solution

    |

  9. Two infinitely long linear conductors are arranged perpendicular to ea...

    Text Solution

    |

  10. Figure shows an Amperian path ABCDA. Part ABC is in vertical plane PST...

    Text Solution

    |

  11. A coaxial cable made up of two conductors. The inner conductor is soli...

    Text Solution

    |

  12. From a cylinder of radius R, a cylider of radius R//2 is removed, as s...

    Text Solution

    |

  13. Current I enters at A in a square loop of uniform resistance and leave...

    Text Solution

    |

  14. A wire of length l is used to form a coil. The magnetic field at its c...

    Text Solution

    |

  15. The value of the electric field strength in vacuum if the energy densi...

    Text Solution

    |

  16. Figure. Shows a small loop carrying a current I. The curved portion is...

    Text Solution

    |

  17. Three rings, each having equal radius R, are placed mutually perpendic...

    Text Solution

    |

  18. Positive point charge q=+8.00muC and q'=+3.00muC are moving relative t...

    Text Solution

    |

  19. Four very long, current carrying wires in the same plane intersect to ...

    Text Solution

    |

  20. Two very long, straight wires carrying, currents as shown in Fig. Find...

    Text Solution

    |