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Torque

A rectangular...

Question

A rectangular coil of 100 turns has length 5 cm and width 4 cm. It is placed with its plane parallel to a uniform magnetic field and a current of 2 A is sent through the coil. Find the magnitude of the magnetic field B, if the torque acting on the coil is $0.2 N m^{- 1} .$

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Solution

$τ = n i a \times B$

$τ = n i B a s i n 90^{\circ}$

$\Rightarrow 0.2 = 100 \times 2 \times 5 \times 4 \times 10^{- 4} \times b$

$\Rightarrow b = 0.5 t e s l a$

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