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  • The loop ABCD is moving with velocity v towards right. The magnetic field is 4 T. The loop is connected to a resistance of 8 . If steady current of 2 A flows in the loop, then value of v, if loop h

The loop ABCD is moving with velocity v towards right. The magnetic field is 4 T. The loop is connected to a resistance of 8 . If steady current of 2 A flows in the loop, then value of v, if loop has resistance 4\Omega , is (Given, AB = 30 cm, AD = 30 cm, sin 37° = 3/5)

Option: 1

\mathrm{\frac{50}{3} \mathrm{~ms}^{-1}}


Option: 2

\mathrm{20 \mathrm{~ms}^{-1}}


Option: 3

\mathrm{10 \mathrm{~ms}^{-1}}


Option: 4

\mathrm{\frac{100}{3} \mathrm{~ms}^{-1}}


Answers (1)

best_answer

\mathrm{\text { Current, I }=\frac{\text { Potential difference }}{\text { Resistance }}}

\mathrm{\therefore \quad \text { Potential difference }=2 \times 12=24 \mathrm{~V}=\mathrm{Bv} l}

\mathrm{Here, l=\mathrm{AD} \sin 37^{\circ}=0.3 \times \frac{3}{5}=0.18 \mathrm{~m}}

\mathrm{\therefore \quad Velocity, \mathrm{v}=\frac{24}{\mathrm{Bl}}=\frac{24}{4 \times 0.18}=\frac{100}{3} \mathrm{~ms}^{-1}}

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Riya

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