A step down transformer operates a 2400 volt lines and supplies a current of 60A.The turn ratio of the transformer is 1:24.calculate the secondary voltage, the primary current and the power output, if the transformer is 100% efficient
Please help me out
sec volt = 2400 / 24
pri crnt = 60 / 24
pwr out = sec volt * sec crnt
Why did the transformer go to therapy? Because it was feeling a little "unbalanced"!
Let's calculate it step by step:
1. The turn ratio of the transformer is 1:24, which means that for every 1 turn of the primary coil, there are 24 turns in the secondary coil.
2. Since the primary voltage is 2400 volts, we can find the secondary voltage by multiplying the primary voltage by the turn ratio:
Secondary Voltage = Primary Voltage × Turn Ratio
Secondary Voltage = 2400 V × 24
Secondary Voltage = 57600 volts
So, the secondary voltage of the transformer is 57600 volts.
3. To find the primary current, we can use the formula:
Primary Current = Secondary Current × Turn Ratio
Primary Current = 60A × 1/24
Primary Current = 2.5A
Therefore, the primary current of the transformer is 2.5 Amperes.
4. To calculate the power output, we can use the formula:
Power Output = Secondary Voltage × Secondary Current
Power Output = 57600 V × 60 A
Power Output = 3,456,000 Watts
So, the power output of the transformer is 3,456,000 Watts.
Remember, this calculation assumes the transformer is 100% efficient. In reality, transformers are not 100% efficient, as they can have losses due to factors such as resistance and magnetization.
Hope this electrifying answer sparks a smile on your face!
To calculate the secondary voltage, primary current, and power output of a step-down transformer, we can use the following formulas:
Secondary Voltage (Vsec) = Primary Voltage (Vprim) / Turn ratio
Primary Current (Iprim) = Secondary Current (Isec) / Turn ratio
Power Output = Secondary Voltage (Vsec) * Secondary Current (Isec)
Given:
Primary Voltage (Vprim) = 2400 volts
Secondary Current (Isec) = 60A
Turn ratio = 1:24
Step 1: Calculate the secondary voltage (Vsec):
Vsec = Vprim / Turn ratio
Vsec = 2400 / 24
Vsec = 100 volts
Step 2: Calculate the primary current (Iprim):
Iprim = Isec / Turn ratio
Iprim = 60 / 24
Iprim = 2.5A
Step 3: Calculate the power output:
Power Output = Vsec * Isec
Power Output = 100 * 60
Power Output = 6000 watts or 6 kilowatts (kW)
Therefore, the secondary voltage is 100 volts, the primary current is 2.5A, and the power output is 6 kW, assuming the transformer is 100% efficient.
To calculate the secondary voltage, primary current, and power output for a step-down transformer, you can use the turn ratio and given values. Here's how:
1. Calculate the secondary voltage:
The turn ratio of the transformer is 1:24, meaning that for every 1 turn in the primary coil, there are 24 turns in the secondary coil. Since the secondary coil has more turns, the voltage will be reduced.
Secondary Voltage = Primary Voltage / Turn ratio = 2400 V / 24 = 100 V
Therefore, the secondary voltage is 100 Volts.
2. Calculate the primary current:
Since the transformer is 100% efficient, the power input (primary) and power output (secondary) will be the same. The power can be calculated using the formula: Power = Voltage × Current.
Power (primary) = Power (secondary)
Voltage (primary) × Current (primary) = Voltage (secondary) × Current (secondary)
2400 V × Current (primary) = 100 V × 60 A
Current (primary) = (100 V × 60 A) / 2400 V
Current (primary) = 2.5 A
Therefore, the primary current is 2.5 Amperes.
3. Calculate the power output:
The power output can also be calculated using the formula: Power = Voltage × Current.
Power (secondary) = 100 V × 60 A = 6000 Watts
Therefore, the power output is 6000 Watts.
In summary, for the given values and turn ratio of 1:24:
- The secondary voltage is 100 Volts.
- The primary current is 2.5 Amperes.
- The power output is 6000 Watts.