To determine the output voltage of a transformer, we can use the formula:
V_out / V_in = N_out / N_in
where V_out is the output voltage, V_in is the input voltage, N_out is the number of loops in the secondary coil, and N_in is the number of loops in the primary coil.
In your case, the number of loops in the primary coil (N_in) is 7000, and the number of loops in the secondary coil (N_out) is 700. The input voltage (V_in) is 220V.
Let's substitute these values into the formula and solve for V_out:
V_out / 220 = 700 / 7000
Simplifying the right side of the equation gives:
V_out / 220 = 1 / 10
To isolate V_out, we can multiply both sides of the equation by 220:
V_out = (1 / 10) * 220
V_out = 22V
Therefore, the output voltage of the transformer is 22 volts.