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  4. Two electric dipoles of dipole moments 1.2 × 10-30 cm and 2.4 × 10-30 cm are placed in two difference uniform electric fields of strengths 5 × 104 NC -1 and 15 × 104 NC -1 respectively. The ratio of maximum torque experienced by the electric dipoles will be (1/ x ). The value of x is

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Q. Two electric dipoles of dipole moments $1.2 \times 10^{-30} cm$ and $2.4 \times 10^{-30} cm$ are placed in two difference uniform electric fields of strengths $5 \times 10^4 NC ^{-1}$ and $15 \times 10^4 NC ^{-1}$ respectively. The ratio of maximum torque experienced by the electric dipoles will be $\frac{1}{ x }$. The value of $x$ is ____

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Solution:

$ |\tau|_{\max }= PE $
$\frac{\tau_1}{\tau_2}=\frac{ P _1 E _1}{ P _2 E _2}=\frac{1.2 \times 10^{-30} \times 5 \times 10^4}{2 \cdot 4 \times 10^{-30} \times 15 \times 10^4}=\frac{1}{6}$
Hence $x=6$