Question

In: Physics

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 to 0 in 2.9 s.

What is the induced emf in the second coil? Answer in units of V.

3.If the outer coil has 14.7 turns, a radius of 19 cm and length of 7.47 cm and the inner coil has 628 turns, a radius of 7 cm, and a length of 33.3 cm, find the mutual inductance of the circular coil and solenoid.

Answer in units of ?H

4. Now the current in the solenoid is increased linearly at a rate of di/dt = a =20.2 A/s.

What is the magnitude of the voltage E across the circular coil?

Answer in units of ?V.

Solutions

Expert Solution

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?

V1/V2 = N1 / N2

so V2 = 85*15/25 = 51

so voltage across 24 ohms = 51 V rms

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 to 0 in 2.9 s.

What is the induced emf in the second coil?

V = M* di / dt = 483*0.001 8 ( 29-0) / 2.9 = 4.83 volts

Answer in units of V.

3.If the outer coil has 14.7 turns, a radius of 19 cm and length of 7.47 cm and the inner coil has 628 turns, a radius of 7 cm, and a length of 33.3 cm, find the mutual inductance of the circular coil and solenoid.

The mutual inductance = Uo*A1*ns*Nc = (note convert ns to turns per meter)

Uo*pi*0.07^2*628*100/33.3 *14.7 = 536.276579724 micro henry

Answer in units of ?H

4. Now the current in the solenoid is increased linearly at a rate of di/dt = a =20.2 A/s.

What is the magnitude of the voltage E across the circular coil?

E = M* di/dt = 536.276579724 * 0.000001 * 20.2 = 10832.7869104248 micro volts

Answer in units of ?V.


Related Solutions

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.
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)?
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...
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
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...
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...
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
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.]
You build a transformer with 100 turns of wire on side 1, and 500 turns on...
You build a transformer with 100 turns of wire on side 1, and 500 turns on side 2. A) If you put a voltage of 100 V (AC) on side 1, what voltage would you get on side 2? B) If you put a voltage of 100 V (AC) on side 1 with a current of 1 Amp (AC), what current would you get on side 2? C) If you put 100 V of DC voltage on side 1, what...
Transformer and Auto Transformer Q1: What do I need to know to solve Ideal Transformer, Transformer,...
Transformer and Auto Transformer Q1: What do I need to know to solve Ideal Transformer, Transformer, and autotransformer problems? Q2: What does it mean referred to primary or secondary side? Q3: How to draw phasor diagram ?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT