The number of secondary windings in the coil of a transformer used in a microwave oven is 10 times the number of windings in the primary coil. If it is connected to a source of 220 V, what is the secondary voltage obtained from the transformer?
Solution
Here,
Let the number of windings in primary coil be ‘x’.
Then the number of windings in secondary coil will be ‘10x’.
Given:
Number of primary windings ( \(\rm N_p\) )= \(\rm x\)
Number of secondary coils ( \(\rm N_s\))= \(\rm 10x\)
Primary Voltage( \(\rm V_p\) )= \(\rm 220V\)
Secondary Voltage( \(\rm V_s\) )= ?
To find the secondary voltage obtained from the transformer, we can use the transformer voltage formula:
$\frac{ N_p}{N_s}$ = $\frac{ V_p}{V_s}$
\(\rm or, \) $\frac{ x}{10x}$ = $\frac{220 }{V_s}$
\(\rm or, \) $\frac{ 1}{10}$ = $\frac{220 }{V_s}$
\(\rm or, \) \(\rm V_s \) = \(\rm 220 . 10\)
\(\rm or, \) \(\rm V_s \) = \(\rm 2220 \)
Thus, the secondary voltage obtained from the transformer is 2220 V.