In an ideal transformer, can power increase or decrease? State whether this statement is true or false.

$A$ transformer with a turns ratio $\frac{N_{1}}{N_{2}} = \frac{50}{1}$ is connected to a $120 \ V$ $AC$ supply. If the primary and secondary circuit resistances are $1.5 \ k\Omega$ and $1 \ \Omega$ respectively,find the power output (in $W$).

In a transformer,the mutual inductance between the primary and secondary coils is $0.5 \ H$. The resistances of the primary and secondary coils are $20 \ \Omega$ and $5 \ \Omega$ respectively. To induce a current of $0.4 \ A$ in the secondary coil,what is the required rate of change of current in the primary coil in $A/s$?

$A$ transformer having efficiency $90 \%$ is working on $200 \ V$ and $3 \ kW$ power supply. If the current in the secondary coil is $6 \ A$, the voltage across the secondary coil and the current in the primary coil are respectively:

Large transformers,when used for some time,become hot and are cooled by circulating oil. The heating of a transformer is due to:

"In a step-down transformer, the output current decreases." This statement is true or false?