An electric dipole consists of two opposite charges of magnitude q = 1 × 1 0 − 6 C separated by 2.0 cm . The dipole is placed in an external field of 1 × 1 0 5 NC − 1 . What maximum torque does the fi

Question

An electric dipole consists of two opposite charges of magnitude q = 1 × 1 0 − 6 C separated by 2.0 cm . The dipole is placed in an external field of 1 × 1 0 5 NC − 1 . What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starting from position of alignment ( θ = 0 ∘ ) ?

TestHub · Accepted Answer

2 a E W = ? , θ 1 ​ = 0 ∘ , θ 2 ​ = 18 0 ∘ τ m a x ​ ​ = 2.0 cm = 2.0 × 1 0 − 2 m = 1 × 1 0 5 NC − 1 , τ m a x ​ = ? = pE = q ( 2 a ) E = 1 × 1 0 − 6 × 2.0 × 1 0 − 2 × 1 × 1 0 5 = 2 × 1 0 − 3 Nm ​ W ​ = pE ( cos θ 1 ​ − cos θ 2 ​ ) = ( 1 0 − 6 × 2 × 1 0 − 2 ) ( 1 0 5 ) ( cos 0 ∘ − cos 18 0 ∘ ) = 4 × 1 0 − 3 J ​ ​

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