Home
Class 12
PHYSICS
Magnitude of electric field only on the ...

Magnitude of electric field only on the x-coordinate as `vec(E)=20/x^(2) hat(i) V//m`. Find
(i) The potential difference between two points A (5m, 0) and B (10m, 0).
(ii) Potential at `x = 5` if V at `oo` is 10 volt.

Text Solution

AI Generated Solution

To solve the problem, we need to find the potential difference between two points A and B, and the potential at a specific point given the electric field. ### Given: - Electric field: \(\vec{E} = \frac{20}{x^2} \hat{i} \, \text{V/m}\) - Point A: \(x_A = 5 \, \text{m}\) - Point B: \(x_B = 10 \, \text{m}\) - Potential at infinity: \(V_\infty = 10 \, \text{V}\) ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise Exercise-1 Section (A)|9 Videos
  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise Exercise-1 Section (B)|12 Videos
  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise HLP|40 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE ENGLISH|Exercise A.l.P|19 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE ENGLISH|Exercise PART -II|10 Videos

Similar Questions

Explore conceptually related problems

Potential difference between points A and B (i.e. V_(A) - V_(B) ) is -----

Electric field in a region is given by E=(2hati+3hatj-4hatk)V//m . Find the potential difference between points (0, 0, 0) and (1,2,3) in this region.

In any region, if electric field is define as bar(E ) = ( hat(i) + 2 hat(j)+ hat(k))V//m , then the potential differnece between two points A ( 0,0,0) and B ( 2,3,4) in that region is

A uniform electric field is along x-axis. The potential difference V_(A)-V_(B)=10 V is between two points A (2m, 3m) and (4m, 8m). Find the electric field intensity.

Find the potential difference V_(AB) between A(2m, 1m, 0) and B(0, 2m, 4m) in an electric field, E=(xhati-2yhatj+zhatk)V/m

Assume that an electric field vec(E) = 30 x^(2) hat(i) exists in space. Then the potential differences V_(A) - V_(0) where V_(0) is the potential at the origin and V_(A) , the potential at x = 2m is

An electric field is expressed as vec E = 2 hat i + 3 hat j . Find the potential difference (V_A - V_B) between two points A and B whose position vectors are given by r_A = hat i + 2 hat j and r_B = 2 hat i + hat j + 3 hat k .

The electric field in a certain region is given by E=5 hat(i)-3hat(j) kv//m . The potential difference V_(B)-V_(A) between points a and B having coordinates (4, 0, 3) m and (10, 3, 0) m respectively, is equal to

A uniform electric field is present in the positive x - direction. If the intensity of the field is 5 NC^-1 then find the potential difference (V_B - V_A) between two points A (0 m, 2 m) and B (5 m, 3 m).

The potential field of an electric field vec(E)=(y hat(i)+x hat(j)) is

RESONANCE ENGLISH-ELECTROSTATICS-Problems
  1. A charges Q is placed at each of the two opposite corners of a square....

    Text Solution

    |

  2. A large nonconducting sheet M is given a uniform charge density. Two u...

    Text Solution

    |

  3. Figure shows a uniformly charged sphere of radius R and total charge Q...

    Text Solution

    |

  4. Two concentric spherical shells of radius R(1) and R(2) (R(2) gt R(1))...

    Text Solution

    |

  5. A solid non conducting sphere of radius R and uniform volume density r...

    Text Solution

    |

  6. Three uniform spheres each having a mass M and radius a are kept in su...

    Text Solution

    |

  7. A uniform electric field of 20 N/C exists in the vertically downward d...

    Text Solution

    |

  8. An electric field of 20 N C ^(-1) exists along the x-axis in space. Ca...

    Text Solution

    |

  9. Some equipotential surfaces are shown in figure(29.E3) What can you sa...

    Text Solution

    |

  10. A point charge of charge -q and mass m is released with negligible spe...

    Text Solution

    |

  11. Four small point charges (each of equal magnitude q) are placed at fou...

    Text Solution

    |

  12. If V=x^(2)y+y^(2)z then find vec(E) at (x, y, z)

    Text Solution

    |

  13. Magnitude of electric field only on the x-coordinate as vec(E)=20/x^(2...

    Text Solution

    |

  14. If E=2r^(2) then find V(r)

    Text Solution

    |

  15. A charge Q is uniformly distributed over a rod of length l. Consider a...

    Text Solution

    |

  16. A charge Q is placed at the centre of a cube. Find the flux of the ele...

    Text Solution

    |

  17. An isolated conducting sphere of charge Q and radius R is grounded by ...

    Text Solution

    |

  18. An isolated conducting sheet of area A and carrying a charge Q is plac...

    Text Solution

    |

  19. Two uncharged and parallel conducting sheets, each of area A are place...

    Text Solution

    |

  20. A positive charge q is placed in front of conducting solid cube at a d...

    Text Solution

    |