**Educational Content on Transformers - Example Problem***Problem Statement:*The problem is to determine the power consumed by a resistor connected to the secondary coil of a transformer. 5. The diagram below shows a transformer with \( N_p = 110 \) turns in the primary coil and \( N_s = 40 \) turns in the secondary coil. If the RMS voltage in the primary coil is 18 Volts, how much power is consumed by a resistor \( R = 140 \) Ohms connected to the secondary coil?*Options:*A. 111 mW B. 158 mW C. 204 mW D. 306 mW E. 375 mW *Diagram Explanation:*The provided diagram illustrates a transformer with the following components:- An alternating current (AC) source labeled with “18 V, 60 Hz” which is connected to the primary coil (\( N_p \)).- The primary coil (\( N_p \)).- The secondary coil (\( N_s \)).- A connected resistor \( R \).The diagram indicates an AC voltage source supplying an RMS voltage of 18V at a frequency of 60 Hz to the primary coil with 110 turns (\( N_p \)). The transformer steps down the voltage based on the turn ratio between the primary coil and the secondary coil, which contains 40 turns (\( N_s \)). A resistor (\( R \)) of 140 Ohms is connected across the secondary coil.*Solution Steps:*1. Calculate the turn ratio of the transformer.2. Use the turn ratio to find the RMS voltage across the secondary coil.3. Calculate the current through the resistor using Ohm’s Law.4. Determine the power consumed by the resistor.This problem is an excellent example of the practical application of transformer principles and Ohm’s Law in AC circuits.

Answered: Image /qna-images/answer/579b6e5e-0a9c-496d-b501-b6c703042f13.jpg

5. The diagram below shows a transformer with N₂ = 110 turns in the primary and N, = 40 turns in the secondary coils. If the RMS voltage in the primary coil is 18 Volts, how much power is consumed by a R = 140 Ohm resistor connected to the secondary coil? A. 111 mW B. 158 mW C. 204 mW D. 306 mW E. 375 mW 18 V 60 Hz Np N₂ R www

5. The diagram below shows a transformer with N₂ = 110 turns in the primary and N, = 40 turns in the secondary coils. If the RMS voltage in the primary coil is 18 Volts, how much power is consumed by a R = 140 Ohm resistor connected to the secondary coil? A. 111 mW B. 158 mW C. 204 mW D. 306 mW E. 375 mW 18 V 60 Hz Np N₂ R www

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Educational Content on Transformers - Example Problem**

*Problem Statement:*

The problem is to determine the power consumed by a resistor connected to the secondary coil of a transformer.

5. The diagram below shows a transformer with \( N_p = 110 \) turns in the primary coil and \( N_s = 40 \) turns in the secondary coil. If the RMS voltage in the primary coil is 18 Volts, how much power is consumed by a resistor \( R = 140 \) Ohms connected to the secondary coil?

*Options:*

A. 111 mW
B. 158 mW
C. 204 mW
D. 306 mW
E. 375 mW

*Diagram Explanation:*

The provided diagram illustrates a transformer with the following components:

- An alternating current (AC) source labeled with “18 V, 60 Hz” which is connected to the primary coil (\( N_p \)).
- The primary coil (\( N_p \)).
- The secondary coil (\( N_s \)).
- A connected resistor \( R \).

The diagram indicates an AC voltage source supplying an RMS voltage of 18V at a frequency of 60 Hz to the primary coil with 110 turns (\( N_p \)). The transformer steps down the voltage based on the turn ratio between the primary coil and the secondary coil, which contains 40 turns (\( N_s \)). A resistor (\( R \)) of 140 Ohms is connected across the secondary coil.

*Solution Steps:*
1. Calculate the turn ratio of the transformer.
2. Use the turn ratio to find the RMS voltage across the secondary coil.
3. Calculate the current through the resistor using Ohm’s Law.
4. Determine the power consumed by the resistor.

This problem is an excellent example of the practical application of transformer principles and Ohm’s Law in AC circuits.

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