Home
Class 12
PHYSICS
The electric potential V is given as a f...

The electric potential V is given as a function of distance x (metre) by `V = (6x^(2) + 10 x - 9)` volt. Find magnitude of electric field (in V/m) at x= 4.

Text Solution

AI Generated Solution

To find the magnitude of the electric field at \( x = 4 \) for the given electric potential function \( V = 6x^2 + 10x - 9 \), we will follow these steps: ### Step 1: Differentiate the Electric Potential Function The electric field \( E \) is related to the electric potential \( V \) by the equation: \[ E = -\frac{dV}{dx} \] First, we need to differentiate the given potential function \( V \) with respect to \( x \). ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|60 Videos
  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise JEE MAIN|65 Videos
  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise LEVEL - 0 (LONG ANSWER TYPE )|8 Videos
  • ELECTROMAGNETIC INDUCTION & ALTERNATIVE CURRENT

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos
  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - TRUE/FALSE TYPE|1 Videos

Similar Questions

Explore conceptually related problems

The electric potential V is givne as a function of distance x (metre) by V = (5 x^(2) + 10x - 9) volt. Value of electric field at x = 1 is

The electric potential V is givne as a function of distance x (metre) by V = (5 x^(2) + 10x - 9) volt. Value of electric field at x = 1 is

The variation of potential with distance x from a fixed point is shown in figure. Find the magnitude of the electric field (in V // m) at x=13 m .

The electrostatic potential V at any point (x, y, z) in space is given by V=4x^(2)

If the potential function is define as V = ( - 3 x + 4y + 12 z)V , then magnitude of electric field E( x,y,z) is

Electric potential V in space as a function of cartesian co-ordinates is given by V=(1)/(x)+(1)/(y) +(1)/(z) . Then find electric field intensity at (1, 1, 1)

The figure gives the electric potential V as a function of distance through five regions on x-axis. Which of the following is true for the electric E in these regions ?

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

If on the x - axis electric potential decreases uniform from 60 V to 20 V between x = -2 m to x = +2 m then the magnitude of electric field at the origin

VMC MODULES ENGLISH-ELECTROSTATICS-LEVEL - 1
  1. A charge Q is uniformly distributed over a large plastic plate. The el...

    Text Solution

    |

  2. A spherical conductor A of radius r is placed concentrically inside a ...

    Text Solution

    |

  3. N identical drops of mercury are charged simultaneously to 10 V. When ...

    Text Solution

    |

  4. Two identical metals balls with charges +2Q and -Q are separated by so...

    Text Solution

    |

  5. A and B are two concentric spherical shells. If A is given a charge +q...

    Text Solution

    |

  6. There is an electric field E in x-direction. If the work done on movin...

    Text Solution

    |

  7. The electric potential V is given as a function of distance x (metre) ...

    Text Solution

    |

  8. Four charge particles of chagres -q,-q,-q and 3q are placed at the ...

    Text Solution

    |

  9. Four equal charges q each are placed at four corners of a square of a ...

    Text Solution

    |

  10. The electric potential V ( in volt) varies with x ( in meter) a acco...

    Text Solution

    |

  11. Four charge +2q, - 2q,-3q and +3q are kept in the comers of a squa...

    Text Solution

    |

  12. In the figure shown, conducting shells A and B have charges Q and 2...

    Text Solution

    |

  13. A charge -q is placed at the axis of a charged ring of radius at a ...

    Text Solution

    |

  14. An electric field given by vec(E) = 4hat(i) - (20 y^(2) + 2) hat(j) p...

    Text Solution

    |

  15. A ball of mass 2Kg charge 1muC is dropped from top of a high tower.In ...

    Text Solution

    |

  16. Two conentrics spherical shell of radius R and 2R having intial ...

    Text Solution

    |

  17. The magnitude of electric field intensity at point B(x,0,0) due t...

    Text Solution

    |

  18. For spherical charge distribution gives as . {{:(,rho = rho(0)(1-...

    Text Solution

    |

  19. A cavity of radius r is present inside a fixed solid dielectric sphere...

    Text Solution

    |

  20. In the given figure two semicircular wires are connected which are in ...

    Text Solution

    |