First slide

Applications involving charged particles moving in a magnetic field

Question

A rectangular coil of area 2.5cm x 1.5cm has 100 turns. When a current of 2mA is passed through it, the deflection is $30^{0}$ . The couple per unit twist of the suspended wire is $1.44 \times 10^{- 4} {Nmrad}^{- 1}$ the magnetic induction is nearly……………..T.

Moderate

Solution

$D u r i n g e q u i l i b r i u m, t o r s i o n a l t o r q u e i s b a l a n c e d b y m a g n e t i c t o r q u e, \Rightarrow C θ = B i A N \Rightarrow B = \frac{C θ}{i N A} = \frac{1.44 \times 10^{- 4} \times \frac{π}{6}}{2 \times 10^{- 3} \times 100 \times (2.5 \times 1.5 \times 10^{- 4})} = 1.005 T$

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