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Q.(a) How many electrons constitute an electric charge of – 16 μC ?

(i) 10^13
(ii) 10^14
(iii) 10^15
(iv) 10^12 (Score : 1)
(b) An electric dipole is a pair of equal and opposite point charges +q and – q separated by a distance r. Write an expression for its dipole moment. (Score : 1)
(c) When an electric dipole is subjected to a uniform electric field, what will happen ? (Score : 1)
Kerala DhseKerala DHSE Plus Two Board 2017Subjective· 3mImportance★★★★★
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(a) Number of electrons = charge/e = 10¹⁴. (b) Dipole moment p = qr, pointing from the negative to the positive charge. (c) In a uniform field a dipole feels zero net force but a torque that aligns it with the field.

(a) Number of electrons for a charge of –16 μC

Charge on one electron, e=1.6×10−19e = 1.6\times10^{-19} C.

n=∣Q∣e=16×10−61.6×10−19=10×1013=1×1014n = \frac{|Q|}{e} = \frac{16\times10^{-6}}{1.6\times10^{-19}} = 10\times10^{13} = 1\times10^{14}

So the answer is option (ii) 101410^{14}.

(b) Electric dipole moment

An electric dipole consists of two equal and opposite point charges +q and –q separated by a distance r. Its dipole moment is defined as

p⃗=q r⃗\vec{p} = q\,\vec{r}

where the vector r⃗\vec{r} points from the negative charge (–q) to the positive charge (+q). Its magnitude is p=qrp = qr and its SI unit is coulomb-metre (C·m).

(c) Dipole in a uniform electric field

When a dipole is placed in a uniform field E⃗\vec{E}, the two charges experience equal and opposite forces qEqE and −qE-qE. These forces are equal in magnitude and opposite in direction, so the net force on the dipole is zero — the dipole does not undergo translational motion.

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