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NCERT Exemplar · Q24

Q.The electric field lines around three point charges A, B and C are shown. Around charge A (on the left) field lines emerge and curve outward into the surrounding region. Charges B (upper right) and C (just below B) lie close together; a bundle of about seven field lines runs vertically between them, directed from C upward into B, and in addition a further set of field lines spreads outward (downward and to the sides) away from C. The number of field lines attached to A is the smallest of the three, while the number attached to C is the largest.

(a) Which charges are positive?
(b) Which charge has the largest magnitude, and why?
(c) In which region or regions of the picture could the electric field be zero --
(i) near A,
(ii) near B,
(iii) near C, or
(iv) nowhere -- and justify your answer.
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Reading a field-line picture: lines leave positive charges and enter negative ones, and the density (number) of lines is proportional to the magnitude of the charge. Lines emerge from A and from C, so both are positive; lines enter B, so B is negative. C carries the most lines, so it has the largest magnitude. A field null can occur near the weakest charge, A.

(a) Signs

Field lines originate on positive charge and terminate on negative charge.

  • Lines emerge from A ⇒ A is positive.
  • Lines leave C (up into B and outward below) ⇒ C is positive.
  • Lines enter B ⇒ B is negative.

(b) Largest magnitude

The magnitude of a charge is proportional to the number of field lines attached to it. C has the greatest number of lines (the bundle running to B plus the extra lines spreading outward), so C has the largest magnitude.

(c) Where can E⃗=0\vec{E}=0? …

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