Suppose that you want to build a transformer that will convert 80 V power coming in the primary coil to 120 V power going out of the secondary coil. If you want to have a total of 20 turns, how many turns should you have in the primary coil?(1 point)
8
12
16
4
12
To determine the number of turns required in the primary coil, we can use the formula for transformer turns ratio:
Turns ratio = Number of turns in secondary coil / Number of turns in primary coil
Given that the desired output voltage is 120V and the input voltage is 80V, we can define the turns ratio as:
Turns ratio = Output voltage / Input voltage
Simplify the turns ratio:
Turns ratio = 120V / 80V
Turns ratio = 1.5
Now, we can set up the equation using the turns ratio and the total number of turns:
1.5 = 20 turns / Number of turns in primary coil
To solve for the number of turns in the primary coil, we rearrange the equation:
Number of turns in primary coil = 20 turns / 1.5
Calculating the expression, we find:
Number of turns in primary coil = 13.33 turns
Since the number of turns must be a whole number, we round it to the nearest whole number:
Number of turns in primary coil = 12
Therefore, you should have 12 turns in the primary coil. The correct answer is option 2.
To determine the number of turns in the primary coil of a transformer, you can use the turns ratio formula. The turns ratio is the ratio of the number of turns in the primary coil to the number of turns in the secondary coil.
In this case, the turns ratio is calculated by dividing the voltage ratio by the turns ratio. The voltage ratio is the ratio of the output voltage (120V) to the input voltage (80V). So, the turns ratio is:
Turns ratio = (output voltage) / (input voltage)
Turns ratio = 120V / 80V
Turns ratio = 1.5
The turns ratio is also equal to the ratio of the number of turns in the primary coil to the number of turns in the secondary coil. So:
Turns ratio = (number of turns in primary coil) / (number of turns in secondary coil)
In this case, we are given that the total number of turns is 20. Using the turns ratio formula, we can find the number of turns in the primary coil:
1.5 = (number of turns in primary coil) / 20
To solve for the number of turns in the primary coil, we can cross multiply:
1.5 * 20 = number of turns in primary coil
30 = number of turns in primary coil
Therefore, there should be 30 turns in the primary coil.
So, the correct answer is not given in the options provided.