Question

The secondary of the Transformer is open-circuited(see attachment).Calculate the secondary voltage V2 if V1=sin10t,L1=0.8H,L2=0.4H and M=0.2H(M-mutual inductance)?

Answer 1

you guys are in physics right? in the chapter of electricity,,,,
For mutual intance
when more current flows in the secondary there will be more current flows in the primary.
This coupling between the primary and secondary is most conveniently described in terms of mutual inductance. The mutual inductance appears in the circuit equations for both the primary and secondary circuits of the transformer.
e=L di/dt
voltage at secondary V2=L2 di2/dt -M di1/dt
when the secondary transformer is opened, the current wil lbe zero thus
e1=L1 di1/dt --> di1/dt=e1/L1=sin10t/.8=1.25 sin10t
V2=L2 di2/dt -M di1/dt
V2= 0 - (0.2)(1.25 sin10t)
V2=0.25 sin 10t ans....