A transformer has $1500$ turns in the primary coil and $1125$ turns in the secondary coil. If the voltage in the primary coil is $200V$, then the voltage in the secondary coil is

The correct option is B

$150V$

Given: Number of turns in the primary coil ($N_P$) = 1500
Number of turns in the secondary coil ($N_S$) = 1125
Voltage in the primary coil ($V_P$) = 200 V
We have to find voltage in the secondary coil i.e. ($V_S$)

We have $\frac{N_P}{N_S}=\frac{1500}{1125}=\frac{V_P}{V_S}=\frac{200}{V_S}$
Solving we get, $V_S=\frac{2\times 1125}{15}=\frac{2\times 225}{3}$
$=\frac{450}{3}$
$V_S=150V$