A transformer has 3,000 loops in its primary coil and 1,500 loops in its secondary coil. What is the voltage in the secondary coil if the voltage in the primary coil is 120 V?
Vs = (1500/3000) * 120 = 60 Volts.
To find the voltage in the secondary coil, we can use the transformer ratio formula:
Vp/Vs = Np/Ns
Where:
Vp is the voltage in the primary coil
Vs is the voltage in the secondary coil
Np is the number of loops in the primary coil
Ns is the number of loops in the secondary coil
In this case, we have:
Vp = 120 V
Np = 3,000 loops
Ns = 1,500 loops
Plugging these values into the formula:
120 V / Vs = 3,000 loops / 1,500 loops
Simplifying:
120 V / Vs = 2
Cross-multiplying:
Vs * 2 = 120 V
Dividing both sides by 2:
Vs = 120 V / 2
Vs = 60 V
Therefore, the voltage in the secondary coil is 60 V.
To find the voltage in the secondary coil, we can make use of the transformer turns ratio. The turns ratio is given by the ratio of the number of loops in the primary coil to the number of loops in the secondary coil.
In this case, the turns ratio is calculated by dividing the number of loops in the primary coil (3,000) by the number of loops in the secondary coil (1,500):
Turns ratio = Number of loops in primary coil / Number of loops in secondary coil
Turns ratio = 3,000 / 1,500
Turns ratio = 2
The turns ratio indicates that for every 1 loop in the secondary coil, there are 2 loops in the primary coil.
Now, we can use the turns ratio to find the voltage in the secondary coil. We know that the voltage in the primary coil is 120 V. Therefore, we can calculate the voltage in the secondary coil by multiplying the turns ratio by the voltage in the primary coil:
Voltage in secondary coil = Turns ratio * Voltage in primary coil
Voltage in secondary coil = 2 * 120 V
Voltage in secondary coil = 240 V
So, the voltage in the secondary coil of the transformer is 240 V.