Home
Class 12
PHYSICS
A uniform electric field of 400 V/m is d...

A uniform electric field of `400 V/m` is directed at `45^@` above the x-axis as shown in the figure. The potential difference `V_A-V_B` is given by

A

0

B

`4V`

C

`6.4V`

D

`2.8V`

Text Solution

Verified by Experts

The correct Answer is:
D

`E=400 cos45^@hati+400sin45^@hatj`
`V_A-V_B=-int_B^AE.dr`
where `dr=dxhati+dyhatj`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY|Exercise Exercise 24.1|4 Videos
  • ELECTROSTATICS

    DC PANDEY|Exercise Exercise 24.2|9 Videos
  • ELECTROSTATICS

    DC PANDEY|Exercise Example Type 8|3 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY|Exercise (C) Chapter exercises|50 Videos
  • GRAVITATION

    DC PANDEY|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

A uniform electric field of 200 V // m is directed at 45^(@) with x -axis as shown in figure. The co-ordinates of point P and point Q are ( 1,0) and ( 0,2) . Find the potential difference , V_(P) - V_(Q) ( in volts) .

‘A point charge +Q is placed at point O as shown in the figure. Is the potential difference V_A – V_B positive.

Knowledge Check

  • A uniform electric field of 100 V//m is directed at 3^@ with the positive x-axis as shown in figure. Find the potential difference V_(BA) if OA=2 m and OB=4 m.

    A
    `-200(3+sqrt2)`
    B
    `50(2+sqrt3)`
    C
    `-100(3+sqrt2)`
    D
    `-100(2+sqrt3)`
  • A uniform electric field to 100 Vm^(-1) is directed at 60^@ with the positive x-axis as shown in figure. If OA= 2 m, the potential difference V_O - V_(A) is

    A
    `-50V`
    B
    `50V`
    C
    `100 V`
    D
    `-100V`
  • A uniform electric field of 500 V//m is directed at 150^(@) to the positive X-axis, in the X-Y plane as shown in figure

    A
    If the coordinates of two points A and B be (4 cm , 0) and `(-3 cm, 0)`, then the potential difference `V_(A) - V_(B)` will be 30.3 V
    B
    If the coordinates of two points A and B be (4 cm, 0) and `(3 cm, 0)`, then the potential difference `V_(A) - V_(B)` will be 4.3 V
    C
    The electric field could be due to infinite thin sheet of charge
    D
    The electric field could be in a spherical cavity of a uniformly charged sphere
  • Similar Questions

    Explore conceptually related problems

    An electric field of 20 N//C exists along the x-axis in space. Calculate the potential difference V_B - V_A where the points A and B are given by a. A=(0,0), B=(4m, 2m) b. A=(4m,2m),B=(6m,5m)

    A battery of e.m.f. 10 V is connected to resistance as shown in figure. The potential difference V_(A) - V_(B) between the point A and B is

    In the circuit shown below, the cell has an e.m.f. of 10 V and internal resistance of 1 ohm . The other resistances are shown in the figure. The potential difference V_(A) - V_(B) is

    A uniform electric field of 100 Vm^-1 is directed at 30^(@) with the positive x - axis as shown in (Fig. 3.153). O A = 2 m and O B = 4 m . . The potential difference V_B - V_A is.

    A uniform electric field of 100 Vm^-1 is directed at 30^(@) with the positive x - axis as shown in (Fig. 3.153). O A = 2 m and O B = 4 m . . The potential difference V_O - V_A is.