Home
Class 12
PHYSICS
Assume than an electric field vec(E ) = ...

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

A

80 J

B

120 J

C

`-120 J`

D

`-80 J`

Text Solution

Verified by Experts

The correct Answer is:
D
We know, `vec(E ) = -(dV)/(dx) hat(i) or, int_(V_O)^(V_A) dV = -int_(0)^(2) 30 x^(2) dx`
`:. V_(A) - V_(O) = -30 [(x^3)/(3)]_(0)^(2) = -80 J` .
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    CHHAYA PUBLICATION|Exercise Examination Archive with solutions (AIPMT)|2 Videos

  • ELECTRIC POTENTIAL

    CHHAYA PUBLICATION|Exercise Examination Archive with solutions (NEET)|1 Videos

  • ELECTRIC POTENTIAL

    CHHAYA PUBLICATION|Exercise Examination Archive with solutions (WBJEE)|5 Videos

  • ELECTRIC FIELD

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|31 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|28 Videos

Similar Questions

Explore conceptually related problems

Assume that an electric field oversettoE=30x^2overset^i exists in space. Then the potential difference V_A-V_0 , where V_0 is the potential at the origin and V_A the potential at x = 2 m is :

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

An electric field of 20N/C exists along the X-axis in space. Calculate the potential difference VB - VA where the points A and B are given by, A = (0,0), B = (4m, 2m)

An electric field of 20N/C exists along the X-axis in space. Calculate the potential difference VB - VA where the points A and B are given by, A = (0,0), B (6m, 5m)

An electric field is expressed as vec(E ) = hat(i)x + hat(k)z . What is the potential difference (in volt) between A(0,0,0) and B(2,2,0)?

If the equation of an electric field is vec(E ) = (y hat(i) + xhat(j)) , then the equation of electric potential is represented by

The rms value of potential difference V shown in the Fig.2.42 is

An electric conductor has a resistance R and its terminal potential difference is V . If charge Q passes through it in time t , then the amount of electrical energy transmitted is

Statement I : If two source charges produce potentials V_(1) and V_(2) at a point, then the total potential at that point is V_(1)+V_(2) Statement II : Electric potential is a scalar quantity.