Question
A conducting loop of radius 10 cm is placed perpendicular to a uniform magnetic field of 0.5 T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:
BITSAT
Physics
Electromagnetic Induction
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Physics Question (2023) — Solution
Options
- A. emf =1 mV
- B. emf =10 mV
- C. emf =100 mV
- D. emf =5 mV
Answer
B. emf =10 mV
Step-by-step solution
As . |_ t=0.5 sec =- d dt =- A dB dt [ =0^ =1 ] =- ( 10 )^2 10^ -4 0-0.5 0.5 =10^ -2 ~V =10 mV As d B d t = constant Induced emf will not change with time. So, . e |_ 0,5 sec = . e |_ 0.25 sec =10 mV
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