Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A 100-ohm resistor is connected to the second...
Start Learning for Free
A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.?
Most Upvoted Answer
A 100-ohm resistor is connected to the secondary of an ideal transform...
Problem:
A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.
Solution:
Step 1: Find the primary voltage
The voltage across the primary is given by the turns ratio of the transformer. Since the turns ratio is 1:4, the primary voltage is:
Vp = Vs × Np / Ns
= 10 V × 1 / 4
= 2.5 V
Step 2: Find the primary current
The primary current can be found using Ohm's Law. The resistance of the primary circuit is:
Rp = (Np / Ns)^2 × Rs
= (1 / 4)^2 × 100 ohm
= 6.25 ohm
Therefore, the primary current is:
Ip = Vp / Rp
= 2.5 V / 6.25 ohm
= 0.4 A
Step 3: Find the voltage across the secondary
The voltage across the secondary can be found using the turns ratio of the transformer. Since the turns ratio is 1:4, the secondary voltage is:
Vs = Vp × Ns / Np
= 2.5 V × 4 / 1
= 10 V
Step 4: Find the voltage across the 100-ohm resistor
The voltage across the 100-ohm resistor can be found using Ohm's Law. Since the resistor is connected to the secondary, the voltage across it is:
Vr = Is × Rs
= Vs / Ns × Rs
= 10 V / 4 × 100 ohm
= 0.025 V
Therefore, the voltage across the 100-ohm resistor is 0.025 V.
Conclusion:
The voltage across the 100-ohm resistor is 0.025 V and the primary current is 0.4 A.
A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.
Solution:
Step 1: Find the primary voltage
The voltage across the primary is given by the turns ratio of the transformer. Since the turns ratio is 1:4, the primary voltage is:
Vp = Vs × Np / Ns
= 10 V × 1 / 4
= 2.5 V
Step 2: Find the primary current
The primary current can be found using Ohm's Law. The resistance of the primary circuit is:
Rp = (Np / Ns)^2 × Rs
= (1 / 4)^2 × 100 ohm
= 6.25 ohm
Therefore, the primary current is:
Ip = Vp / Rp
= 2.5 V / 6.25 ohm
= 0.4 A
Step 3: Find the voltage across the secondary
The voltage across the secondary can be found using the turns ratio of the transformer. Since the turns ratio is 1:4, the secondary voltage is:
Vs = Vp × Ns / Np
= 2.5 V × 4 / 1
= 10 V
Step 4: Find the voltage across the 100-ohm resistor
The voltage across the 100-ohm resistor can be found using Ohm's Law. Since the resistor is connected to the secondary, the voltage across it is:
Vr = Is × Rs
= Vs / Ns × Rs
= 10 V / 4 × 100 ohm
= 0.025 V
Therefore, the voltage across the 100-ohm resistor is 0.025 V.
Conclusion:
The voltage across the 100-ohm resistor is 0.025 V and the primary current is 0.4 A.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.?
Question Description
A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.?.
A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.?.
Solutions for A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? defined & explained in the simplest way possible. Besides giving the explanation of
A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.?, a detailed solution for A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? has been provided alongside types of A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? theory, EduRev gives you an
ample number of questions to practice A 100-ohm resistor is connected to the secondary of an ideal transformer with a turns ratio of 1:4. A 10 V RMS, 1 kHz voltage source is connected to the primary. Find the voltage across the 100-ohm resistor and the primary current.? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup