Transformer Impedance and Ratio Calculations

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In summary, the conversation discussed finding the current magnitude and voltage in a circuit with a transformation ratio of 1/5 and a 2 ohm resistor. The input impedance was calculated to be 0.08 ohms and the current for IL was determined to be 0.4 amps. The next step is to calculate VL.
  • #1
photonxyz
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Homework Statement



See attached for a view of the problem

Variables a=transformation ratio= 1/5
Ip=2Amps
ZL=2 ohm resistor

Homework Equations


Q1 : Find the current magnitude of the current IL and the Voltage VL
Q2 : Find the input impedence.


The Attempt at a Solution



OK, my question is variable a, which is the transformation ratio is 1/5. From my reading the transformation ratio is equal to the number of turns of the primary divided by the number turns of the secondary...

How

so a= NP/NS = 1/5

NP =1 turn Per NS =5

Then, the input impedence should be Rin = A^2ZL

Rin = (1/5)^2(2 ohms)

Rin = .08 ohms

Does that look correct for the impedance?


Then for the current for IL, a = Is/Ip or Is = (a)(Ip) or Is = .4 amps


does it look correct?

Thanks for any response :)
 
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  • #2
Yes, these figures look correct. You should be able to readily calculate VL now.
 
  • #3
Awesome :) thanks for your response :)
 

What is transformer impedance/ratio?

Transformer impedance/ratio is the ratio between the primary and secondary winding of a transformer. It represents the relationship between the voltage and current in the primary and secondary circuits of the transformer.

How is transformer impedance/ratio calculated?

Transformer impedance/ratio is calculated by dividing the number of turns in the primary winding by the number of turns in the secondary winding. This value is also known as the turns ratio.

Why is transformer impedance/ratio important?

Transformer impedance/ratio is important because it determines the voltage transformation and power transfer capabilities of a transformer. It also affects the efficiency and performance of the transformer.

What is the difference between impedance and turns ratio?

Impedance refers to the total opposition to the flow of current in a circuit, while turns ratio refers to the ratio of the number of turns in the primary and secondary windings of a transformer. Impedance takes into account factors such as resistance, inductance, and capacitance, while turns ratio only considers the number of turns in the windings.

How does transformer impedance/ratio affect transformer efficiency?

Transformer impedance/ratio affects transformer efficiency in that a higher impedance/ratio can cause lower efficiency due to losses in the windings and core of the transformer. A lower impedance/ratio can result in higher efficiency as there are fewer losses. However, the optimum impedance/ratio for a transformer depends on its design and application.

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