A transformer is to be used to provide power for a computer disk drive that needs 5.8 V (rms) instead of the 120 V (rms) from the wall outlet. The number of turns in the primary is 414, and it delivers 500 mA (the secondary current) at an output voltage of 5.8 V (rms).
(a) Should the transformer have more turns in the secondary compared to the primary, or fewer turns?
There should be more turns in the secondary.
There should be fewer turns in the secondary.
(b) Find the current in the primary.
mA
(c) Find the number of turns in the secondary.
turns
a. Fewer turns on secondary.
b. Ip = (5.8V/120V) * 500ma =
c. Turns = (5.8V/120V) * 414 =
post
thank you so much!
(a) The transformer should have more turns in the secondary compared to the primary.
To understand why, let's go through the basics of transformer operation. A transformer works on the principle of electromagnetic induction, where a changing magnetic field induces a voltage across a coil of wire. The ratio of the number of turns in the primary coil (N1) to the number of turns in the secondary coil (N2) determines the voltage ratio between the primary and secondary.
In this case, the computer disk drive requires an output voltage of 5.8 V (rms) from the transformer, which is lower than the 120 V (rms) input voltage. To step down the voltage, the secondary coil needs to have fewer turns than the primary coil. Therefore, the transformer should have more turns in the secondary compared to the primary.
(b) To find the current in the primary, we can use the formula for current in a transformer:
Ip/Is = Ns/Np,
Where Ip is the primary current, Is is the secondary current, Np is the number of turns in the primary, and Ns is the number of turns in the secondary.
Given that Is = 500 mA and Np = 414, we need to find Ip.
Plugging in the values, we have:
Ip/500 mA = Ns/414
We can rearrange the equation to solve for Ip:
Ip = (500 mA * 414) / Ns
(c) To find the number of turns in the secondary, we can rearrange the equation from part (b) as follows:
Ip/Np = Is/Ns
To solve for Ns, we have:
Ns = (Is * Np) / Ip
Plugging in the values, we have:
Ns = (500 mA * 414) / Ip