Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202329 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2023 · 29 January · Evening Shift · Physics · Electrostatics

A point charge 2 × 10 ^ – 2 C is moved from P to S in a uniform...

A point charge 2×10–2C2 \times {10}^{– 2}C is moved from PP to SS in a uniform electric field of 30NC–130N{C}^{– 1} directed along positive xx-axis. If coordinates of PP and SS are (1,2,0)mand(0,0,0)m( 1, 2, 0 ) m\text{and} ( 0, 0, 0 ) m respectively, the work done by electric field will beA point charge 2 × 10 ^ – 2 C is moved from P to S in a uniform electric field of 30N C ^ – 1 directed along positive x

Options

  1. A1200mJ1200mJ
  2. B600mJ600mJ
  3. C−600mJ- 600mJ
  4. D−1200mJ- 1200mJ

Correct answer

C. −600mJ- 600mJ

Step-by-step solution

A point charge 2 × 10 ^ – 2 C is moved from P to S in a uniform electric field of 30N C ^ – 1 directed along positive x

As electric field is uniform, so force acting on the charged particle will be uniform.

Therefore,

WE=F→⋅s→=qE→⋅s→{W}_{E} = \overset{\to}{F} \cdot \overset{\to}{s} = q\overset{\to}{E} \cdot \overset{\to}{s}

= \left(2 \times {10}^{- 2}\right)\left[30\overset{^}{i} \cdot \left[\left(0\overset{^}{i} + 0\overset{^}{j} + 0\overset{^}{k}\right) - \left(\overset{^}{i} + 2\overset{^}{j} + 0\overset{^}{k}\right)\right]\right]

=−60×10−2J= - 60 \times {10}^{- 2}J

=−600mJ= - 600mJ

Practice Electrostatics on Quantrex Academy →

More from Electrostatics

Two charges Q_1 = q and Q_2 = mq are placed at the points P_1(a, b) and P_2(ma, mb)… JEE Advanced 2026Consider an electric dipole comprising two charges +q and -q each with mass m , separated… JEE Advanced 2026Two point charges q_1=3\,μ C and q_2=-4\,μ C are placed at points (2 i +3 j +3 k ) and (… JEE Main 2026The electric potential as a function of x, y is given by V = 5(x^2 - y^2) V. The electric… JEE Main 2026A thin half ring of radius 35 cm is uniformly charged with a total charge of Q coulomb.… JEE Main 2026A three coulomb charge moves from the point (0, -2, -5) to the point (5, 1, 2) in an… JEE Main 2026A particle of charge q and mass m is projected from origin with an initial velocity v = (… JEE Main 2026A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an… JEE Main 2026 Full Electrostatics list All JEE Main PYQs