A L-shaped conducting rod OAB is rotating in a constant magnetic field of $B_{0} = 100$ Tesla acting along x-axis. The length of rod OA = 20 cm and AB = 20 cm. If rod is rotating about y-axis with constant angular velocity of 5 rad/second then at a given instant.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

Potential difference across OA is zero Volt

Potential difference across AB is 20 Volt

Potential difference across OA is 10 Volt

Potential difference across OB is 10 Volt

answer is B, C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$d V = (\vec{v} \times \vec{B}) . d \bar{l}$

So potential difference across OA is zero

$\Rightarrow$ Potential difference across $O B = \frac{1}{2} B_{0} ω {(\sqrt{2} O A)}^{2} = \frac{1}{2} (100) (5) 2 {(0.2)}^{2} = 20 V o l t$

So potential difference across AB is also 20 Volt.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE