An ideal (lossless) transformer has 4 times as many turns

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In summary, an ideal transformer with 4 times as many turns on the primary winding as the secondary winding, connected to a 10V peak voltage source, and a 10kΩ load on the secondary winding, would result in the primary current being one fourth of the secondary current. The input resistance would be equal to (N1/N2)^2 x RL.
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bckcookie
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Homework Statement


An ideal (lossless) transformer has 4 times as many turns on the primary winding as it has on the secondary winding. The secordary winding is loaded with a 10k ohm resistor and a sinusoidal voltage source having negligible resistance and a peak voltage of 10V is connected to the primary .

1. the value nearest to the resistance presented to the voltage source??
2. the value nearest to the peak current flowing in the secordary winding??


Homework Equations



Input resistance rin = e1/i1 = e2N1/N2 x n1/i2N2 = e2/i2{N1/N2}^2

rin = (N1/N2)^2 x RL

The Attempt at a Solution



I can't find out the solution 1. & 2., please advise!
 
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  • #2


Hi bckcookie! If the primary voltage is 10Vpk, what is the secondary voltage?

Determine the secondary current with that load of 10kΩ on the secondary.

Determine the primary current.

What is the result of dividing primary voltage by primary current?
 

FAQ: An ideal (lossless) transformer has 4 times as many turns

1. What is an ideal transformer?

An ideal transformer is a theoretical device that is used to step up or step down alternating current (AC) voltage levels. It consists of two coils of wire, the primary and secondary, that are wrapped around a shared magnetic core. The ratio of turns in the primary and secondary coils determines the voltage transformation.

2. What does it mean for a transformer to be lossless?

A lossless transformer is one that has no energy losses during the transformation process. In other words, all of the energy input to the primary coil is transferred to the secondary coil without any losses due to heat or other factors.

3. How does the number of turns affect the voltage in an ideal transformer?

The voltage in an ideal transformer is directly proportional to the ratio of turns between the primary and secondary coils. So, if the secondary coil has 4 times as many turns as the primary coil, the voltage will also be 4 times higher in the secondary coil.

4. Can an ideal transformer have any number of turns?

Yes, an ideal transformer can have any number of turns in the primary and secondary coils. However, the ratio of turns must remain constant in order for the voltage transformation to be accurate.

5. What are some practical applications of an ideal transformer with 4 times as many turns?

An ideal transformer with 4 times as many turns in the secondary coil can be used for voltage step-up applications, such as in power transmission and distribution systems. It can also be used for voltage step-down applications, such as in electronic devices like cell phones and laptops.

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