Electric Charges and Fields - Result Question 32

32. An electric dipole, consisting of two opposite charges of $2 \times 10^{-6} C$ each separated by a distance $3 cm$ is placed in an electric field of $2 \times 10^{5} N / C$. Torque acting on the dipole is

(a) $12 \times 10^{-1} Nm$

(b) $12 \times 10^{-2} Nm$

(c) $12 \times 10^{-3} Nm$

(d) $12 \times 10^{-4} Nm$

[1995]

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Answer:

Correct Answer: 32. (c)

Solution:

  1. (c) Charges $(q)=2 \times 10^{-6} C$,

Distance

(d) $=3 cm=3 \times 10^{-2} m$ and

electric field (E)

$=2 \times 10^{5} N / C$.

Torque $(\tau)=pE=qdE$

$T=(2 \times 10^{-6}) \times(3 \times 10^{-2}) \times(2 \times 10^{5})$

$=12 \times 10^{-3} N-m$.



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