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Q.
How much current is drawn by the primary coil of a transformer which steps down $220\, V$ to $22\, V$ to operate a device with an impedance of $220\, \Omega$ ?
Alternating Current
Solution:
Here, $\varepsilon_{p}=220\, V , \varepsilon_{s}=22\, V$\
and $Z=220\, \Omega$ If $i_{s}$ is the current through the secondary, then
$i_{s}=\frac{\varepsilon_{s}}{Z}=\frac{22\, V }{220\, \Omega}=0.1\, A$
We know that, $\varepsilon_{p} i_{p}=\varepsilon_{s} i_{s}$
where, $i_{p}$ is the current drawn by the primary coil
Thus, $220 \times i_{p}=22 \times 0.1\, A$
$\Rightarrow i_{p}=0.01\, A$