Two electric dipoles of dipole moments 1.2 × 10–30 C-m and 2.4 × 10–30 C-m are placed in two different uniform electric fields of strength 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 _______.

τ1τ2=μ1B1sin⁡90μ2B2sin⁡90=1.2×10−30×5×1042.4×10−30×15×104=16

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Two electric dipoles of dipole moments 1.2 × 10^–30 C-m and 2.4 × 10^–30 C-m are placed in two different uniform electric fields of strength 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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answer is 6.

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Detailed Solution

$\begin{array}{l} \frac{τ_{1}}{τ_{2}} = \frac{μ_{1} B_{1} \sin 90}{μ_{2} B_{2} \sin 90} \\ = \frac{1 .2 \times 10^{- 30} \times 5 \times 10^{4}}{2 .4 \times 10^{- 30} \times 15 \times 10^{4}} \\ = \frac{1}{6} \end{array}$

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