Home
Class 12
PHYSICS
A loop made of straight edegs has six co...

A loop made of straight edegs has six corners at `A(0,0,0), B(L, O,0) C(L,L,0), D(0,L,0) E(0,L,L)` and `F(0,0,L)`. Where `L` is in meter. A magnetic field `B = B_(0)(hat(i) + hat(k))T` is present in the region. The flux passing through the loop `ABCDEFA` (in that order) is

Text Solution

Verified by Experts

Loop ABCDA lie in x-y plane whose area vector `A_(1) = L^(2) overset(^)(k)` where ADEFA lie in y-z plane where are vector `A_2 = L^(2) overset(^)(i)`
`phi = B.A, A= A_(1) + A_(2) = (L^(2) overset(^)(k) + L^(2) overset(^)(i))`
`B = B_(0) ( overset(^) (i) + overset(^)(k) )( L^(2) k + L^(2) overset(^)(i) ) = 2 B_(0) L ^2 ` Wb.
Promotional Banner

Topper's Solved these Questions

  • UNIT–III & UNIT–IV MAGNETIC EFFECTS OF CURRENT AND MAGNETISM & E.M.I. AND ALTERNATING CURRENT

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER QUESTIONS (5 Marks)|5 Videos
  • SAMPLE QUESTION PAPER 2019

    CBSE COMPLEMENTARY MATERIAL|Exercise Section C|19 Videos

Similar Questions

Explore conceptually related problems

A loop A(0,0,0)B(5,0,0)C(5,5,0)D(0,5,0)E(0,5,10) and F(0,0,10) of straight edges has six corner points and two sides. The magnetic field in this region is vec(B) = (3hati + 4hatk) T. The quantity of flux through the loop ABCDEFA (in Wb) is

L_(1)=L_(0)+rt . What does L_(0) represent in the given expression?

Consider a loop ABCDEFA. With coordinates A (0, 0, 0), B(5, 0, 0), C(5, 5, 0), D(0, 5, 0) E(0, 5, 5) and F(0, 0, 5). Find magnetic flux through loop due to magnetic field vecB = 3 hati+4 hatk

A loop ABCA of straight edges has three corner points A (8, 0, 0), B (0, 8, 0 ) and C (0, 0, 8). The magnetic field in this region is vecB=5(hati+hatj+hatk)T 0 . The quantity of flux through the loop ABCA (in Wb) is _____.

A square shaped, conducting wire loop of side L , total mass m and total resistance R initially lies in the horizontal x-y plane, with corners at (x, y, z) = (0,0,0), (0, L , 0), (L, 0 ,0), and (L, L, 0) . There is a uniform upward magnetic field in the space within and around the loop. The side of the loop that extends from (0, 0, 0)to (L, 0, 0) is held in place on the x-axis, the rest of the loop is released, it begins to rotate due to the gravitational torque. (a) Find the net torque (magnitude and direction)that acts on the loop when it has rotated through an anglr phi from its original orientation and is rotating dounward at an angular speed omega . (b) Find the angular acceleration of the loop at the instant described in part (a). ( c) Compared to teh case with zero magnetic field, does it take the loop a longer or shorter time to rotate through 90^(@) ? Explain. (d) Is mechanical energy conserved as the loop rotates downward ? Explain.

A square of side L meters lies in the x-y plane in a region, where the magnetic field is give by B = B_(0) (2 hati + 3 hat j + 4 hatk) T, where B_(0) is constant. The magnitude of flux passing through the square is

If L=(20+-0.01)m and B=(10+-0.02)m then L-B is

CBSE COMPLEMENTARY MATERIAL-UNIT–III & UNIT–IV MAGNETIC EFFECTS OF CURRENT AND MAGNETISM & E.M.I. AND ALTERNATING CURRENT-(NUMERICALS)
  1. A rectangular conducting loop of length l and breadth b enters a unifo...

    Text Solution

    |

  2. A rectangular conducting loop of length l and breadth b enters a unifo...

    Text Solution

    |

  3. A rectangular conducting loop of length l and breadth b enters a unifo...

    Text Solution

    |

  4. A charged 8mF capacitor having charge 5mC is connected to a 5mH induct...

    Text Solution

    |

  5. A charged 8mF capacitor having charge 5mC is connected to a 5mH induct...

    Text Solution

    |

  6. A charged 8mF capacitor having charge 5mC is connected to a 5mH induct...

    Text Solution

    |

  7. A charged 8mF capacitor having charge 5mC is connected to a 5mH induct...

    Text Solution

    |

  8. A 31.4Omega resistor and 0.1H inductor are connected in series to a 20...

    Text Solution

    |

  9. A 31.4Omega resistor and 0.1H inductor are connected in series to a 20...

    Text Solution

    |

  10. A 31.4Omega resistor and 0.1H inductor are connected in series to a 20...

    Text Solution

    |

  11. A squre loop of side a= 12 cm with its sides parallel to x, and y-axis...

    Text Solution

    |

  12. A square loop of side 12 cm with its sides parallel to x and y- axes i...

    Text Solution

    |

  13. Figure shows a wire ab of length l which can slide on a U-shaped rail ...

    Text Solution

    |

  14. A loop made of straight edegs has six corners at A(0,0,0), B(L, O,0) C...

    Text Solution

    |

  15. A coil of 0.01 henry inductance and 1 ohm resistance is connected to 2...

    Text Solution

    |

  16. An electrical device draws 2 kW power form AC mains [voltage 223 V (rm...

    Text Solution

    |

  17. In a LCR circuit, the plot of I("max") versus ω is shown in figure. Fi...

    Text Solution

    |

  18. An inductor of unknown value, a capacitor of 100 mu F and a resistor o...

    Text Solution

    |

  19. A 100 turn coil of area 0.1 m^(2) rotates at half a revolution per sec...

    Text Solution

    |

  20. The magnetic flux linked with a large circular coil of radius R is 0.5...

    Text Solution

    |