Home
Class 12
PHYSICS
Electric field in a region is given by E...

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.

Text Solution

AI Generated Solution

To find the potential difference between the points (0, 0, 0) and (1, 2, 3) in the given electric field \( \mathbf{E} = (2\hat{i} + 3\hat{j} - 4\hat{k}) \, \text{V/m} \), we will follow these steps: ### Step 1: Understand the relationship between electric field and potential difference The relationship between electric field \( \mathbf{E} \) and potential difference \( V \) is given by: \[ \mathbf{E} = -\nabla V \] This implies that the potential difference \( V_1 - V_2 \) between two points can be calculated using the line integral of the electric field: ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL - I|14 Videos

  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) FILL IN THE BLANKS|4 Videos

  • ELECTROSTANTICS

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|15 Videos

  • ELECTROMAGNETIC WAVE & WAVE OPTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS Objective : Level-II (MULTI CHOICE SINGLE CORRECT)|21 Videos

  • ELECTROSTATICS

    FIITJEE|Exercise Example|14 Videos

Similar Questions

Explore conceptually related problems

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

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

The electric field in a certain region is given by E=(5hati-3hatj)kV//m . Find the difference in potential V_B-V_A . If A is at the origin and point B is at a. (0,0,5)m, b. (4,0,3) m.

An electric field is expressed as E = 2 hati +3 hatj . Find the potential difference (V_(A)-V_(B)) between two points A and B whose position vectors are given by r_(A) = hati +2hatj and r_(B) = hatj +3hatk

The gravitational field in a region is given by vecE=-(20Nkg^(-1))(hati+hatj) . Find the gravitational potential at the origin (0,0) in J kg^(-1)

If the electric field in a region is given as E=y^(2)hati+2xyhatj and the potential is assumed 4 Volts at the origin, find the potential, in Volts, at the point (2,1,9) . All values are in SI units.

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.