EMF induced?

In the figure, there is a square of side 'l'.
Ends C and D are pulled with velocity u. Find the induced emf at the instance when angle ABD is θ. Magnetic field is into the plane of paper.

4 Answers

24
eureka123 ·

i think it should be ends B and D

3
iitimcomin ·

e=(Lucos2@/2sin@)B

3
iitimcomin ·

-d(phi)/dt = -B dA/dt = -B d(2*1/2(2Lcos@)(Lsin@))/dt

d(Lcos@)/dt = u => d@/dt = -u/Lsin@

B[L2cos2@/2(u/Lsin@)] = e(induced)

B[L2ucos2@/2Lsin@] = e

(Lucos2@/2sin@)B

1
aposlil ·

εind= -d(B2xy)/dt
= -d(2Bx√l2-x2)/dt
Differentiate and put dx/dt= u and x=lcosθ

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