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 0.15 T. If the resistance of the circuit is 5Ω , the fo

Question

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 0.15 T. If the resistance of the circuit is $5Ω$ , the force needed to move the rod in direction, as indicated, with a constant speed of $4 m / s$ will be $P \times 1 0^{- 3} N$ . Find the value of P.

TestHub · Accepted Answer

F = i ℓ B = ( R ε ​ ) ℓ B = ( R v B ℓ ​ ) ℓ B = R v B 2 ℓ 2 ​ = 5 4 ​ × ( 100 15 ​ ) 2 × 1 2 = 5 4 ​ × 1 0 4 225 ​ = 1 0 4 180 ​ = 0.018 N = 18 × 1 0 − 3 N

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