The magnetic flux through each turn of a coil having 200 turns is given as (t^2-2 t ) 10⁻³ Wb , where t is in second. The emf induced in the coil at t=3 ~s is

Step-by-step solution

Given magnetic flux = (t^2-2 t ) 10⁻³ On differentiating with recpect to time t d d t =(2 t-2) 10⁻³ At time t=3 ~s aligned | d d t |_ t=3 ~s & =(2 3-2) 10⁻³ & =4 10⁻³ ~Wb ~s ⁻¹ Now, |e| & =N | d d t | & =200 4 10⁻³ & =800 10⁻³=0.8 ~V aligned