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Question: Answered & Verified by Expert
A coil of area 10 m2 is placed in a uniform magnetic field of 0.3k lb. m-2, with its plane perpendicular to the field. The coil rotates at a uniform rate to complete the revolution in 8 s. find the average emf in mV. in the coil during intervals when the coil rotates from
i. 0° to 90° position
ii. 90° to 180° position
ii. 180° to 270° position
iv. 270° to 360° position
PhysicsElectromagnetic InductionAP EAMCETAP EAMCET 2020 (23 Sep Shift 1)
Options:
  • A 32v ;32v ;-32v ;-32v
  • B 32v;-32v;32v;-32v
  • C 0 V ; 0 V ; 0 V ; 0 V
  • D -32v ;-32v ; 32v ; 32v
Solution:
1017 Upvotes Verified Answer
The correct answer is: 32v ;32v ;-32v ;-32v

Magnetic flux is given by ϕ=BAcosθ

e=-ϕt=-ϕ2-ϕ1t2-t1

case i : for 0° to 90° position

e=-BAcos90-BAcos0t2-t1=0.3×102=32mV

case ii : for 90° to 180° position

e=-BAcos180-BAcos90t2-t1=0.3×102=32mV

case iii : for 180° to 270° position

e=-BAcos270-BAcos180t2-t1=-0.3×102=-32mV

case iv : for 270° to 360° position

e=-BAcos360-BAcos270t2-t1=-0.3×102=-32mV

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