A semi circular rigid metallic wire, of radius R is rotating with constant angular speed $ω$ about an axis passing through point O and perpendicular to the plane of the semicircular wire in a region of uniform magnetic field ${'B}_{0}'$ as shown then

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

Potential difference between points O and B is

\frac{{3B}_{0} R^{2} ω}{2}

Potential difference between points O and A is

\frac{B_{0} R^{2} ω}{4}

Electric Potential of point A is more than point B.

Potential difference between points A and B is

B_{0} R^{2} ω

answer is B, C, D.

(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

Question Image

$E_{OA} = \frac{1}{2} B ω R^{2}$

$OA = R$

$E_{OB} = \frac{3}{2} B_{0} ω R^{2}$

$OB = \sqrt{R^{2} + R^{2} + 2 R^{2} \cos 120 °}$

$= \sqrt{3} R$

$V_{A} > V_{B};$

$V_{A} - V_{B} = B_{0} R^{2} ω$

Watch 3-min video & get full concept clarity