A conducting rod of resistance r moves uniformly with a constant speed v. If the rod keeps moving uniformly, then the amount of force required is

Question

A conducting rod of resistance $r$ moves uniformly with a constant speed $v$ . If the rod keeps moving uniformly, then the amount of force required is ___

Smart Achievers · Accepted Answer

(3)

$F = I ℓ B = \frac{v B ℓ}{(R + r)} ℓ B = \frac{v B^{2} ℓ^{2}}{(R + r)}$

Solution

Q.
A conducting rod of resistance $r$ moves uniformly with a constant speed $v$ . If the rod keeps moving uniformly, then the amount of force required is ___

1 $\frac{v B^{2} ℓ^{2}}{R}$

2 $\frac{2 v B^{2} ℓ^{2}}{(R + r)}$

3 $\frac{v B^{2} ℓ^{2}}{(R + r)}$

4 $zero$

Ans.
(3)

$F = I ℓ B = \frac{v B ℓ}{(R + r)} ℓ B = \frac{v B^{2} ℓ^{2}}{(R + r)}$

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Solution

Q. A conducting rod of resistance r moves uniformly with a constant speed v. If the rod keeps moving uniformly, then the amount of force required is ___

1 vB2ℓ2R

2 2vB2ℓ2(R+r)

3 vB2ℓ2(R+r)

4 zero

Ans. (3) F=IℓB=vBℓ(R+r) ℓB=vB2ℓ2(R+r)