First slide

Transformer

Question

A step down transformer reduces the voltage of a transmission line from 2200 V to 220 V. The power delivered by it is 880 W and its efficiency is 88%. The input current is

Moderate

A

4.65 mA
B

0.045 A
C

0.45 A
D

4.65 A

Solution

(3)
$\begin{array}{l} E f f i c i e n c y η = \frac{o u t p u t p o w e r}{I n p u t p o w e r} \\ \Rightarrow \frac{88}{100} = \frac{880}{P i} \Rightarrow P i = 1000 W . \\ I n p u t c u r r e n t I_{i} = \frac{P_{i}}{V_{i}} = \frac{1000}{2200} A = 0.45 A \end{array}$

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