The primary of a step-down transformer connected to a 240 V source has 1000 turns. The secondary has 100 turns. What is the output voltage of this transformer?
Vp=240V; Np=1000turns; Ns=100turns
Vp/Vs =Np/Ns = Is/Ip
240/Vs =1000/100
240/Vs = 10
Vs= 240/10
Vs= 24V
To find the output voltage of the transformer, you can use the turns ratio formula, which states that the ratio of the number of turns on the primary coil to the number of turns on the secondary coil is equal to the ratio of the input voltage to the output voltage.
The turns ratio formula is as follows:
Turns ratio = Number of turns on primary coil / Number of turns on secondary coil
Given that the primary coil has 1000 turns and the secondary coil has 100 turns, the turns ratio can be calculated as follows:
Turns ratio = 1000 / 100 = 10
Since the turns ratio is equal to the ratio of the input voltage to the output voltage, you have:
Turns ratio = Input voltage / Output voltage
In this case, the input voltage is 240 V. Plugging in the values, the equation becomes:
10 = 240 / Output voltage
To solve for the output voltage, we can rearrange the equation:
Output voltage = 240 / 10 = 24 V
Therefore, the output voltage of this transformer is 24 V.
To calculate the output voltage of a transformer, you need to use the turns ratio formula, which states that the ratio of the number of turns on the primary side to the number of turns on the secondary side is equal to the ratio of the primary voltage to the secondary voltage.
The turns ratio formula is:
Turns ratio = (Number of turns on primary side) / (Number of turns on secondary side)
In this case, the number of turns on the primary side is 1000, and the number of turns on the secondary side is 100.
Using the turns ratio formula, we can calculate the output voltage:
Turns ratio = (Number of turns on primary side) / (Number of turns on secondary side) = 1000 / 100 = 10
Now, we can use the turns ratio to find the output voltage. Since this is a step-down transformer, the output voltage will be lower than the input voltage.
Output voltage = (Turns ratio) * (Input voltage)
Input voltage in this case is 240 V.
Output voltage = 10 * 240 V = 2400 V
Therefore, the output voltage of this transformer is 2400 V.