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Question
A transformer is connected to a 200 V ac source. The transformer supplies 3000 V to a device. If the number of turns in the primary coil is 450, then the number of turns in its secondary coil is ______.
Options
30
450
4500
6750
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Solution
A transformer is connected to a 200 V ac source. The transformer supplies 3000 V to a device. If the number of turns in the primary coil is 450, then the number of turns in its secondary coil is 6750.
Explanation:
Given: Secondary voltage (Vs) = 3000 V
Primary voltage (Vp) = 200 V
Number of turns in the primary coil (Np) = 450
The number of turns in the secondary coil can be found using the transformer turns ratio.
`V_s/V_p = N_s/N_p`
Rearranging the formula for Ns:
Ns = `V_s/V_p xx N_p`
= `3000/200 xx 450`
= 15 × 450
= 6750
∴ The number of turns in the secondary coil is 6750 turns.
