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JIPMER 2007
Exam
JIPMER
Year
2007
Subject
Physics
Chapter
Electrostatics

JIPMER 2007 · Physics · Electrostatics

As per this diagram a point charge +q is placed at the origin O ....

As per this diagram a point charge +q+q is placed at the origin OO. Work done in taking another point charge −Q-Q from the point AA [coordinates (0,a)](0, a)] to another point B[coordinates⁡(a,0)]B[\operatorname{coordinates}(a, 0)] along the straight path ABA B is As per this diagram a point charge +q is placed at the origin O . Work done in taking another point charge -Q from the

Options

  1. AZERO
  2. B(−qQ4πε01a2)2a\left(\frac{-q Q}{4 \pi \varepsilon_0} \frac{1}{a^2}\right) \sqrt{2} a
  3. C(qQ4πε01a2)\left(\frac{q Q}{4 \pi \varepsilon_0} \frac{1}{a^2}\right)
  4. D(qQ4πε01a2)2a\left(\frac{q Q}{4 \pi \varepsilon_0} \frac{1}{a^2}\right) \sqrt{2} a

Correct answer

A. ZERO

Step-by-step solution

The work done in carrying a test charge consists in product of difference of potentials at points AandA andBandvalueoftestcharge.<imgsrc="https://cdn−question−pool.getmarks.app/pyq/jipmer/tayniZbjjYWEbLq2oLSWazEJ3xm0pXzafTtiJ0EeZU.original.fullsize.png"/>PotentialatAand value of test charge. <img src="https://cdn-question-pool.Quantrex.app/pyq/jipmer/tayn_iZbjjYWEbLq2oLSWazEJ3xm0pXzafTtiJ0EeZU.original.fullsize.png"/> Potential at AV_A=\frac{1}{4 \pi \varepsilon_0} \frac{q}{a}PotentialatBPotential at BV_B=\frac{1}{4 \pi \varepsilon_0} \frac{q}{a}Thus,workdoneincarryingatestchargeThus, work done in carrying a test charge-QfromfromAtotoB W=\left(V_A-V_B\right)(-Q)=0
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