A step-down transformer operates a 2400v and supplied a current of 60A. The turns ratio of the transformer is 1/24. Calculate
a)secondary voltage
b)primary current
c)power output if the transformer is 100% efficient?
To solve this problem, we can use the formulas related to transformers.
a) Secondary Voltage:
The turns ratio of the transformer is given as 1/24, which means for every one turn on the primary side, there are 24 turns on the secondary side. The primary voltage is given as 2400V.
We can calculate the secondary voltage using the formula:
Secondary Voltage = (Turns Ratio) x (Primary Voltage)
Secondary Voltage = (1/24) x (2400V)
Secondary Voltage = 100V
Therefore, the secondary voltage is 100V.
b) Primary Current:
The primary current is given as 60A. We can calculate the primary current using the formula:
Primary Current = (Secondary Current) / (Turns Ratio)
Primary Current = 60A / (1/24)
Primary Current = 1440A
Therefore, the primary current is 1440A.
c) Power Output:
The power output of the transformer can be calculated using the formula:
Power Output = (Secondary Voltage) x (Secondary Current)
Power Output = 100V x 60A
Power Output = 6000W
Since the transformer is said to be 100% efficient, the power output is equal to the power input. Hence, the power output is 6000W.