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Electric Charge and Field Physics Electric Charge and Field Physics Class 12th

Two electric dipoles of dipole moments 1.2 × 10^-³⁰ Cm and 2.4 × 10^-³ Cm are placed in two different 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 $\frac{1}{x} .$ The value of x is_______.

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Vishal Baghel | Contributor-Level 10

2 months ago

$P_{1} = 1.2 \times 1 0^{- 30} C . m P_{2} = 2.4 \times 1 0^{- 30} C . m$

$E_{1} = 5 \times 1 0^{4} N C^{- 1} E_{2} = 15 \times 1 0^{4} N C^{- 1}$

So, $\frac{τ_{1}}{τ_{2}} = \frac{P_{1} E_{1} s i n 90 °}{P_{2} E_{2} s i n 90 °} = \frac{(1.2 \times 1 0^{- 30}) \times (5 \times 1 0^{4})}{(2.4 \times 1 0^{- 30}) \times (15 \times 1 0^{4})}$

$= \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \Rightarrow x = 6$

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Two electric dipoles of dipole moments 1.2 × 10-30 Cm and 2.4 × 10-3 Cm are placed in two different 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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