A transformer has N1=350turns and N2=2000turns. If the input voltage is 170cos(omega time)v, what rms voltage is developed across the secondary
To find the rms voltage developed across the secondary of the transformer, we can use the turns ratio formula:
V2/V1 = N2/N1
Where:
V2 is the secondary voltage
V1 is the primary voltage
N2 is the number of turns in the secondary
N1 is the number of turns in the primary
Rearranging the formula, we get:
V2 = (V1 * N2) / N1
Given that V1 = 170 V, N1 = 350 turns, and N2 = 2000 turns, we can substitute these values into the formula:
V2 = (170 V * 2000 turns) / 350 turns
V2 = 971.43 V
Therefore, the rms voltage developed across the secondary of the transformer is approximately 971.43 V.