Home
Class 12
PHYSICS
The electric potential in a region is re...

The electric potential in a region is represented as
`V=2x+3y-z`
obtain expression for electric field strength.

Text Solution

Verified by Experts

`vec E = - [(del V)/(del x) hat i +(del V)/(del y)hat j +(del V)/(del z) hat k]`
Here, `(del V)/(del x) = (del)/(del x)(2 x + 3 y- z)= 2`
`(del V)/(del y) = (del)/(del y)(2 x + 3 y- z) = 3`
`(del V)/(del z)= (del)/(del z)(2 x + 3y - z) = -1`
`:. vec E = -2 hat i - 3 hat j + hat k`.
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 3.2|9 Videos
  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 3.3|9 Videos
  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS ENGLISH|Exercise Examples|9 Videos
  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS ENGLISH|Exercise MCQ s|38 Videos
  • ELECTRICAL MEASURING INSTRUMENTS

    CENGAGE PHYSICS ENGLISH|Exercise M.C.Q|2 Videos

Similar Questions

Explore conceptually related problems

If the electric potential in a region is represented as V = 2x + 3y - 4z .Then electric field vector will written as

Statement I: If electric potential in certain region is constant, then the electric field must be zero in this region. Statement II: vecE = -(dV)/(dr) hatv .

The electric potential at any point x,y and z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

If potential (in volts) in a region is expressed as V (x, y, z) = 6xy - y + 2yz , the electric field (in N//C) at point (1, 1, 0) is

The electric potential V at any point x,y,z (all in metre) in space is given by V=4x^2 volt. The electric field at the point (1m, 0, 2m) is …………… V/m .

The equation of an equipotential line in an electric field is y = 2 x , then electric field strength vectro at 1, 2 may be .

The potentaial function of an electrostatic field is given by V = 2 x^2 . Determine the electric field strength at the point (2 m, 0, 3 m) .

The electirc potential at a point (x, y, z) is given by V = -x^(2)y - xz^(3) + 4 The electric field vecE at that point is

The electirc potential at a point (x, y, z) is given by V = -x^(2)y - xz^(3) + 4 The electric field vecE at that point is

The electirc potential at a point (x, y, z) is given by V = -x^(2)y - xz^(3) + 4 The electric field vecE at that point is

CENGAGE PHYSICS ENGLISH-ELECTRIC POTENTIAL-Exercise 3.1
  1. If you know ( E) at a given point, can you calculate V at that point ?...

    Text Solution

    |

  2. Can there be a potential difference between two adjacent conductors th...

    Text Solution

    |

  3. An electron moves from the positive to the negative terminal of a batt...

    Text Solution

    |

  4. We want to produce a proton with kinetic energy 4.3 xx 10^-15 J. Throu...

    Text Solution

    |

  5. The potential produced by a point charge is V = kQ// r. Use this infor...

    Text Solution

    |

  6. a. A circle is drawn with center as a charge +q. What is the work done...

    Text Solution

    |

  7. A uniform electric field E exists between two oppositely charged plate...

    Text Solution

    |

  8. Show that if at some part of a field the lines of force have the from ...

    Text Solution

    |

  9. If you carry out the integral of the electric field int vec E. vec d l...

    Text Solution

    |

  10. (Figure 3.41) shows the lines of constant potential in region in which...

    Text Solution

    |

  11. A charge 2 muC is taken from inifinity point in an electric field, wit...

    Text Solution

    |

  12. When charge 10 mu C is shifted from inifinity to a point in an electri...

    Text Solution

    |

  13. A charge 3 mu C is released at rest from a point P where electric pote...

    Text Solution

    |

  14. Find out the following a. VA - VB b. VB - VC c. VC - VA d. VD...

    Text Solution

    |

  15. Four balls, each with mass m, are connected by four nonconducting stri...

    Text Solution

    |

  16. Consider the configuration of a system of four charges each of value (...

    Text Solution

    |

  17. The electric potential in a region is represented as V=2x+3y-z obt...

    Text Solution

    |

  18. Find V(ab) in an electric field E = (2 hat(i) +3 hat(j)+4 hat(k))(N)...

    Text Solution

    |

  19. A uniform electric field exists in x y plane as shown in Fig. 3.45. Fi...

    Text Solution

    |

  20. The electric field in a region is given by E = (4 axy sqrt(z))hat i + ...

    Text Solution

    |