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 × 10 4 N C - 1 and 15 × 10 4 N C - 1 respectively.

Question

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 × 10 4 N C - 1 and 15 × 10 4 N C - 1 respectively. The ratio of maximum torque experienced by the electric dipoles will be 1 x . The value of x is _____ .

TestHub · Accepted Answer

Maximum torque experienced by an electric dipole is $τ_{m a x} = P E \sin 90 °$ .
So, ${|τ|}_{\max} = P E$
The ratio is $\frac{τ_{1}}{τ_{2}} = \frac{P_{1} E_{1}}{P_{2} E_{2}} = \frac{1.2 \times 10^{- 30} \times 5 \times 10^{4}}{2 \cdot 4 \times 10^{- 30} \times 15 \times 10^{4}} = \frac{1}{6}$

Hence, the value of $x = 6$ .

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