A wire ab of length l , mass m and resistance R slides on a smooth thick pair of metallic rails joined at the bottom as shown in fig. The plane of the rails makes an angle θ with the horizontal. A vertical magnetic field B exist in the region. If the wire slides on the rails at a constant speed v , then the value of B is -

Question

A wire ab of length l , mass m and resistance R slides on a smooth thick pair of metallic rails joined at the bottom as shown in fig. The plane of the rails makes an angle θ with the horizontal. A vertical magnetic field B exist in the region. If the wire slides on the rails at a constant speed v , then the value of B is -, m g R v l 2 cos 2 ⁡ θ, m g R cos ⁡ θ v l 2 s i n 2 θ, m g R v 2 l 2 s i n 2 θ, m g R sin ⁡ θ v l 2 cos 2 ⁡ θ

MARKS App · Accepted Answer

m g sin ⁡ θ = I l B cos ⁡ θ = l B cos ⁡ θ × v B l cos ⁡ θ R B = m g R s i n θ v l 2 cos 2 ⁡ θ

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