Question

In a transformer the core loss is 100 Watt at 40 Hz and 72 Watt at 37 Hz, then eddy current and hysteresis losses at 50 Hz respectively are

• A. 32 Watt and 100 Watt
• B. 25 Watt and 105 Watt
• C. 20 Watt and 100 Watt
• D. 100 Watt and 32 Watt

Answer 1

The correct option is B 25 Watt and 105 Watt

$P_{\text{iron loss}}=A{f}^2+Bf$

$100=A(40{)}^2+B(40)..(1)$
$72=A(30{)}^2+B(30)...(2)$

Solving (1) and (2),
$A=\frac{1}{100}$

Eddy current losses
$=\frac{1}{100}(50{)}^2=\frac{50\times 50}{100}=25Watt$