A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B = 0.4 sin(300t) Tesla

Question

A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B = 0.4 sin(300t) Tesla. The normal to the plane of loop makes an angle of $60 °$ with the field. The maximum induced emf produced in the loop is _____ mV. [2026]

Smart Achievers · Accepted Answer

(4)

$B = 0.4 \sin (300 t), \frac{d B}{d t} = (0.4) (300) \cdot \cos (300 t)$

$\Rightarrow {(\frac{d B}{d t})}_{\max} = 120 {Ts}^{- 1}$

$ϕ = \vec{B} \cdot \vec{A} = (B) (A) \cos θ$

$ε = \frac{d ϕ}{d t} = \frac{d B}{d t} \cdot A \cdot \cos 60 °$

$ε_{\max} = 120 \times 4 \times 10^{- 4} \times \frac{1}{2} = 240 \times 10^{- 4} = 24 mV$

Solution

Q.
A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B = 0.4 sin(300t) Tesla. The normal to the plane of loop makes an angle of $60 °$ with the field. The maximum induced emf produced in the loop is _____ mV. [2026]

1 12

2 18

3 21

4 24

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