Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction
The flux of a magnetic field through a closed conducting loop varies with time according to the relation = at^2 + bt + c . Determine the SI units of a , b , and c .
Options
- AV/s ^2 , V/s , V
- BV s , V , V/s
- CV/s , V , V s
- DWb/s , Wb , Wb s
Correct answer
C. V/s , V , V s
Step-by-step solution
By the principle of dimensional homogeneity, each term in the equation = at^2 + bt + c must have the same unit as the magnetic flux . The SI unit of magnetic flux is Weber ( Wb ). From Faraday's law of induction, e = - d dt , the unit of rate of change of flux is Volt ( V ). Therefore, 1 Wb = 1 V s . The unit of c is the unit of , which is V s . The unit of bt is the unit of , so the unit of b is Wb s = V . The unit of at^2 is the unit of , so the unit of a is Wb s ^2 = V s s ^2 = V/s . Thus, the units of a , b , a