a transformer has 200 turns in its primary coil, the potential difference across the transformer is 220V needs to operate an electrical instrument uses a 110 volts. the number of turns in its secondary coil is:
a) 100 turns
b) 200 turns
c) 110 turns
d) 220 turns
to get half the voltage you need half as many turns in the secondary, so a.
To determine the number of turns in the secondary coil of the transformer, we can use the turns ratio equation. The turns ratio equation states that the ratio of the number of turns in the primary coil to the number of turns in the secondary coil is equal to the ratio of the input voltage to the output voltage.
Given:
Number of turns in the primary coil (Np) = 200
Potential difference across the transformer (Vp) = 220V
Voltage required by the electrical instrument (Vs) = 110V
Number of turns in the secondary coil (Ns) = ?
The turns ratio equation is:
Np/Ns = Vp/Vs
Substituting the given values:
200/Ns = 220/110
Simplifying, we get:
200/Ns = 2
Cross-multiplying, we get:
2 * Ns = 200
Dividing both sides by 2, we get:
Ns = 100
Therefore, the number of turns in the secondary coil of the transformer is 100 turns. Hence, the answer is:
a) 100 turns
To determine the number of turns in the secondary coil of the transformer, we can use the transformer's voltage ratio formula:
Voltage ratio = Number of turns in secondary coil / Number of turns in primary coil
Given that the potential difference across the transformer is 220V and it needs to operate an electrical instrument that uses 110V, we can set up the equation as follows:
220V / 110V = Number of turns in secondary coil / 200 turns
To solve for the number of turns in the secondary coil, cross-multiply and divide:
(220V * 200 turns) / 110V = Number of turns in secondary coil
Simplifying this equation gives:
40,000 turns / 110V = Number of turns in secondary coil
Dividing 40,000 turns by 110V gives:
Approximately 363.64 turns
Since the number of turns needs to be a whole number, the closest option to 363.64 turns is 360 turns. Therefore, the correct answer is:
d) 220 turns