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Q.

A 1m long metal rod XY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0.15T. If the resistance of the circuit is 5 $Ω$ , the force needed to move the rod in direction, as indicated, with a constant speed of 4m/s will be _______ $10^{- 3} N .$

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answer is 18.

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Detailed Solution

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$\begin{array}{l} I = \frac{E}{R} = \frac{BVL}{R} \\ F = BIL = \frac{B^{2} L^{2} V}{R} \\ F = \frac{{(15 \times 10^{- 2})}^{2} \times 1^{2} \times 4}{5} \\ F = 18 \times 10^{- 3} N \end{array}$

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A 1m long metal rod XY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0.15T. If the resistance of the circuit is 5Ω, the force needed to move the rod in direction, as indicated, with a constant speed of 4m/s will be _______ 10−3N.