QJEEM13Phfd27: JEE Main 2013 Physics - Class 12 JEEM13Phfd27 Solution: A metallic rod of length ′ ℓ ′ is tied to a string of length 2…

Question

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A metallic rod of length

^{'} ℓ^{'}

is tied to a string of length

2

ℓ

and made to rotate with angular speed

w

on a horizontal table with one end of the string fixed. If there is a vertical magnetic field

^{'} B^{'}

in the region, the

e . m . f

induced across the ends of the rod is JEE Main 2013 (Offline) Physics - Electromagnetic Induction Question 113 English

Accepted Answer

Here, induced

e . m . f .

e = \int_{2 ℓ}^{3 ℓ} (ω x) B d x = B ω \frac{[{(3 ℓ)}^{2} - {(2 ℓ)}^{2}]}{2}

= \frac{5 B ℓ^{2} ω}{2}

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