A laptop computer requires 24 volts to operate properly. A transformer with 500 turns in the primary needs to have how many turns in the secondary to operate the computer from a 120 V source?
N1=500, U1 = 120 V, U2 = 24V
N2=N1•U2/U1= 500•24/120 =100
To find the number of turns in the secondary of the transformer, we can use the formula for the turns ratio:
Turns ratio = Primary voltage / Secondary voltage
In this case, the primary voltage is 120 V and the secondary voltage required is 24 V.
Turns ratio = 120 V / 24 V = 5
So, the turns ratio is 5.
The number of turns in the primary is given as 500.
To find the number of turns in the secondary, we can use the formula:
Turns in secondary = Turns ratio * Turns in primary
Turns in secondary = 5 * 500
Turns in secondary = 2500
Therefore, the transformer needs to have 2500 turns in the secondary to operate the computer from a 120 V source.
To determine the number of turns in the secondary of the transformer, we can use the transformer equation:
((Vp / Vs) = (Np / Ns))
Where:
Vp = primary voltage
Vs = secondary voltage
Np = number of turns in the primary
Ns = number of turns in the secondary
In this case:
Vp = 120 V
Vs = 24 V
Np = 500 (given)
Let's plug in the values:
(120 V / 24 V) = (500 / Ns)
Simplifying the equation, we get:
5 = (500 / Ns)
To find Ns, we can cross multiply:
5 * Ns = 500
Divide both sides of the equation by 5:
Ns = 500 / 5
By simplifying the equation, we find that there should be 100 turns in the secondary of the transformer to operate the laptop computer from a 120 V source.