Question

In: Physics

An ideal transformer has 50 turns in its primary and 250 turns in its secondary. 12...

An ideal transformer has 50 turns in its primary and 250 turns in its secondary. 12 V ac is connected to the primary. Find:

a. The voltage ac available at the secondary.

b. Current in the 10 ohms device connected to the secondary.

c. Power supplied to the primary.

d. Power supplied to the secondary.

Solutions

Expert Solution

a) Let the voltage ac available at the secondary is Vs.

Given that the primary ac voltage Vp=12 V.

The primary turns Np=50 Turns.

The secondary turns Ns=250 Turns.

We know from the transformer principles

  

The voltage ac available at the secondary is 60 V.

b) Let the current in the device connected to the secondary is Is.

Given that the resistance of the device Rs=10 Ohms.

The secondary ac voltage Vs=60 V.

   The current in the device is

  

     

  

The current in the device connected to the secondary is 6 A.

c) Let the power supplied to the primary is Pp.

The ac voltage connected to the primary is Vp=12 V.

Let the current in the primary is Ip.

   The current to the primary is

  

  

The power supplied to the primary is

  

The power supplied to the primary is 360 Watts.

d) Let the power supplied to the secondary is Ps.

The current in secondary is Is=6 A.

The voltage in secondary is Vs=60 V.

   The power supplied to secondary is

  

  

   The power supplied to secondary is 360 Watts.


Related Solutions

An ideal transformer has 50 turns in its primary (input) and 450 turns in its secondary...
An ideal transformer has 50 turns in its primary (input) and 450 turns in its secondary (output). 10.0-V ac is connected to the primary (input). a) What is the voltage on the secondary (output)? b) What is the secondary (output) current if a 10.0- resistor is connected to the secondary (output)? c) What is the power supplied to the primary (input)?
1. An ideal transformer has a primary with 25 turns and secondary with 15 turns. The...
1. An ideal transformer has a primary with 25 turns and secondary with 15 turns. The load resistor is 24 ? and the source voltage is 85 Vrms.What is the rms electric potential across the 24 ? load resistor? Answer in units of Vrms 2. A transformer consists of two coils of wire wound on a common toroidal iron core. The mutual inductance of the pair is 483 mH and the current in the first coil decreases from 29 A...
current transformer with a bar primary has 250 turns in it secondary winding. the resistance and...
current transformer with a bar primary has 250 turns in it secondary winding. the resistance and reactance of the secondary circuit are 1.4 ohms and 1.1 ohms respectively including the transformer winding. when 5A current flows in the secondary winding, the magnetism mmf is 80 AT and iron lost is 1.1w. determine the following (i) ratio error (ii) phase angle error
Exercises 1. A 25 kVA single-phase transformer has the primary and secondary number of turns of...
Exercises 1. A 25 kVA single-phase transformer has the primary and secondary number of turns of 200 and 400, respectively. The transformer is connected to a 220 V, 50 Hz source. Calculate the (i) turns ratio, and (ii) mutual flux in the core. 2. A 25 kVA, 2200/220 V, 50 Hz single-phase transformer’s low voltage side is short-circuited and the test data recorded from the high voltage side are P=150 W, I1 = 5A and V1 = 40 V. Determine...
A plug-in transformer supplies 9.00 V to a video game system. How many turns are in its secondary coil if its input voltage is 120 V and the primary coil has 381 turns?
(A) A plug-in transformer supplies 9.00 V to a video game system. How many turns are in its secondary coil if its input voltage is 120 V and the primary coil has 381 turns? What is its input current when its output is 1.33 A? (B)What is the characteristic time constant of a 24.2 mH inductor that has a resistance of 4.08 Ω? If it is connected to a 12.0 V battery, what is the current after 12.5 ms? (C)Two...
A transformer with rated power of 250 kVA and a secondary voltage of 230/400 V, 50...
A transformer with rated power of 250 kVA and a secondary voltage of 230/400 V, 50 Hz, delivers energy to the following loads: - 1 three-phase engine of nominal power 30 kW, 93% efficiency and power factor 0.9 - 90 lightning systems of 250 W each, rated voltage 230 V, and cos(phi)=0.6 (i), connected in a balanced manner Consider a direct sequence and a reference of voltages V1=V∠0º Find: a) The true, reactive and apparent power provided by the transformer...
1. The primary of a step-up transformer connected to a 120 V source has 200 turns....
1. The primary of a step-up transformer connected to a 120 V source has 200 turns. If the output is 480 V, how many turns does the secondary have? 2. The primary of a step-down transformer connected to a 240 V source has 1500 turns. The secondary has 200 turns.   What is the output voltage of this transformer? 3. A laptop computer requires 24 volts to operate properly. A transformer with 600 turns in the primary needs to have how...
The secondary of a 500kVA, 4400/500 V, 50Hz, single-phase transformer has 500 turns. A) determine emf...
The secondary of a 500kVA, 4400/500 V, 50Hz, single-phase transformer has 500 turns. A) determine emf per unit. B) primary turns. C) secondary full load current D) maximum flux E) gross cross-sectional area of the core for flux density of 1.2 tesla F) if the core is square cross-section find the width of the limb
A single-phase transformer 5 kVA, operating at 50 Hz frequency has turns ratio of 20. The...
A single-phase transformer 5 kVA, operating at 50 Hz frequency has turns ratio of 20. The primary and the secondary winding resistances are 0.15 Ω and 0.025 Ω respectively, and the primary and secondary leakage reactances are 0.65 Ω and 0.15 Ω respectively. The magnetizing inductance and core loss resistance are 6 Ω and 1 Ω respectively. i. Calculate the primary and secondary impedances referred to primary and sketch the APPROXIMATE equivalent circuit. (Note: please show all parameters in the...
Which coil, primary or secondary, has more windings in a step-up transformer? Explain. [A step up...
Which coil, primary or secondary, has more windings in a step-up transformer? Explain. [A step up transformer has a higher voltage output from the secondary coil than is input to the primary coil.]
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT