A step-up transformer has a coil with 100 turns and a coil with 10000 turns. If the input voltage is 12.0 kV, the input current is 10.0 A, and the output voltage is 1200 kV, then what is the output current
power is the same on each side
12KV*10A=1200KV*I
solve for current I
To find the output current of a step-up transformer, we can use the principle of conservation of power. In an ideal transformer, the power is the same on both the primary (input) and secondary (output) sides. The power is calculated by multiplying voltage and current.
1. First, let's find the input power (Pin) using the input voltage (Vin) and input current (Iin):
Pin = Vin * Iin
Pin = 12.0 kV * 10.0 A
Pin = 120.0 kW
2. Since power is conserved in a transformer, the input power is equal to the output power (Pout):
Pout = Pin
Pout = 120.0 kW
3. Now let's calculate the output current (Iout) using the output voltage (Vout) and the output power (Pout):
Iout = Pout / Vout
Iout = 120.0 kW / 1200 kV
Iout = 0.1 A or 100 mA
Therefore, the output current of the step-up transformer is 0.1 A or 100 mA.