A coil having n turns and resistance R is connected with a galvanometer of resistance 4 R . This combination is moved in time t second from a magnetic field w₁ weber to w₂ weber. The induced current in the circuit is

Step-by-step solution

Current is given by I= E R^ Substituting, E=- n d d t , we get I=- n R^ d d t ...(i) Given that w₁ and w₂ are the values of the flux associated with one turn of the coil. Therefore, Eq. (i) becomes, I=- n R^ [ w₂-w₁ t₂-t₁ ] ...(ii) Total resistance of the combination is R^ =R+4 R=5 R , substituting the values of R^ and (t₂-t₁ )=t in Eq. (ii), we get aligned & I=- n 5 R ( w₂-w₁ t ) & I= -n (w₂-w₁ ) 5 R t aligned