Home
Class 11
PHYSICS
Electric field in a region is given by v...

Electric field in a region is given by `vec(E)=-4xhat(i)+6yhat(j)`. The charge enclosed in the cube of side `1 m` oriented as shown in the diagram is given by `alpha in_(0)`. Find the value of `alpha`.

Text Solution

Verified by Experts

The correct Answer is:
2

`phi=(6y) "Area"-(4x) "Area" =6xx1xx(1)^(2)-4xx1xx(1)^(2)=2` therefore `q/epsilon_(0)=2 rArr q=2epsilon_(0)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example Some worked out Examples|1 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-01|87 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Question|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

The electric field in a region is given by E = (E_0x)/lhati . Find the charge contained inside a cubical 1 volume bounded by the surfaces x=0, x=a, y=0, yh=, z=0 and z=a. Take E_0=5xx10^3N//C l=2cm and a=1m.

The gravitational field in a region is given by vecE = (3hati- 4hatj) N kg^(-1) . Find out the work done (in joule) in displacing a particle by 1 m along the line 4y = 3x + 9 .

The magnetic field in a region is given by vec(B)=B_(0)(1+(x)/(a))hat(k) . A square loop of edge length 'd' is placed with its edge along X-axis and Y-axis. The loop is moved with a constant velocity vec(V)=V_(0)hat(i) . The emf induced in the loop is

A charges cork of mass m suspended by a light stright is placed in uniform electric field strength E=(hat(i)+hat(j))xx10^(5) NC^(-1) as shown in the figure. If in equilibrium position tension in the string is (2mg)/((1+sqrt(3))) then angle 'alpha' with the vertical is:

lf the electric field around a surface is given by |vecE|=(Q)/(E_(0)|vecA|) where vecA is the normal area of surface and Q_("in") is the charge enclosed by the surface. This relation of Gauss's law is valid when

An electric field is given by vec(E)=(yhat(i)+xhat(j))N/C . Find the work done (in J) in moving a 1 C charge from vec(r)_(A)=(2hat(i)+2hat(j)) m to vec(r)_(B)=(4hat(i)+hat(j))m .

The position of a particle is given by vec r= 3.0 t hat i - 2.0 t^2 hat j + 4.0 hat k m , wher (t) in seconds and the coefficients have the proper units for vec r to be in metres. Find the vec v and vec a of the particle ?

A tuning fork P of unknown frequency gives 7 beats in 2 seconds with another tuning fork Q is moved towards a wall with a speed of 5 m//s , it gives 5 beats per second for an observer located left to it. On filling, P gives 6 beat per second with Q . The frequency (in Hz) of P is given by (80 xx alpha)+beta, (alpha, beta in I, 0 le alpha, beta le 9) then find the value of alpha + beta . Assume speed of sound = 332 m//s .

The position of a particle is given by vec r= 3.0 t hat i - 2.0 t^2 hat j + 4.0 hat k m , wher (t) in seconds and the coefficients have the proper units for vec r to be in metres. what is the magnitude of the velocity of particle at t=2 sec ?

The position vector of a particle is given by vec(r)=1.2 t hat(i)+0.9 t^(2) hat(j)-0.6(t^(3)-1)hat(k) where t is the time in seconds from the start of motion and where vec(r) is expressed in meters. For the condition when t=4 second, determine the power (P=vec(F).vec(v)) in watts produced by the force vec(F)=(60hat(i)-25hat(j)-40hat(k)) N which is acting on the particle.

ALLEN -MISCELLANEOUS-Part -II Example
  1. Two positrons (e+) and two protons (p) are kept on four corners of a s...

    Text Solution

    |

  2. Four charges are placed at the circumference of a dial clock as shown ...

    Text Solution

    |

  3. A small electric dipole is placed at origin with its dipole moment dir...

    Text Solution

    |

  4. Uniform electric field of magnitude 100 V//m in space is directed alon...

    Text Solution

    |

  5. Figure shows a uniformly charged hemisphere of radius R. It has a volu...

    Text Solution

    |

  6. A metallic rod of length I rotates at angular velocity omega about an...

    Text Solution

    |

  7. Consider a finite charged rod. Electric field at point P (shown) makes...

    Text Solution

    |

  8. The alectric potential in a region is given by the relation V(x)=4+5x^...

    Text Solution

    |

  9. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  10. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  11. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  12. A simple pendulum is suspended in a lift which is going up with an acc...

    Text Solution

    |

  13. The variation of potential with distance x from a fixed point is shown...

    Text Solution

    |

  14. The energy density u is plotted against the distance r from the centre...

    Text Solution

    |

  15. The figure shown four situations in which charges as indicated (q gt 0...

    Text Solution

    |

  16. An electric field is given by vec(E)=(yhat(i)+xhat(j))N/C. Find the wo...

    Text Solution

    |

  17. The arrangement shown consists of three elements. (i) A thin rod of ...

    Text Solution

    |

  18. Six charges are kept at the vertices of a regular hexagon as shown in ...

    Text Solution

    |

  19. Electric field in a region is given by vec(E)=-4xhat(i)+6yhat(j). The ...

    Text Solution

    |

  20. An infinite plane of charge with sigma=2 in(0) C/m^(2) is tilted at a ...

    Text Solution

    |