A transformer has N1=360turns and NOW=2000turns. If the input voltage is 170cos(omega time)v, what rms voltage is developed across the secondary
To determine the RMS voltage developed across the secondary, we can use the transformer turns ratio formula:
V2/V1 = N2/N1
Where:
V2 is the RMS voltage across the secondary
V1 is the input voltage
N2 is the number of turns on the secondary coil
N1 is the number of turns on the primary coil
Here, V1 = 170cos(ωt) V
N1 = 360 turns
N2 = 2000 turns
Substituting these values into the formula:
V2/170cos(ωt) = 2000/360
Now, let's solve for V2:
V2 = (170cos(ωt) * 2000)/360
V2 = (170 * 2000)/360cos(ωt)
V2 = 944.44cos(ωt)
Therefore, the RMS voltage developed across the secondary is 944.44 V.