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College Physics (Urone)
Found in: Page 773
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

To measure currents in Figure \({\rm{21}}{\rm{.49}}\), you would replace a wire between two points with an ammeter. Specify the points between which you would place an ammeter to measure the following: (a) the total current; (b) the current flowing through \({{\rm{R}}_{\rm{1}}}\); (c) through \({{\rm{R}}_{\rm{2}}}\) ; (d) through \({{\rm{R}}_{\rm{3}}}\) . Note that there may be more than one answer to each part.

  1. The total current obtained is: \(2.14{\rm{ }}\Omega \)
  2. The ammeter is connected to measure the current flowing through the value \({R_1}\).
  3. The current flowing through the point \({R_2}\) is obtained as: \(214{\rm{ }}\Omega \).
  4. The ammeter is connected to measure the current flowing through the value \({R_3}\).
See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Define Circuit

An electronic circuit is made up of individual electronic components including resistors, transistors, capacitors, inductors, and diodes that are linked by conductive wires or traces.

Step 2: Evaluating total current

a.

The points by which we connect the ammeter is used to measure the total current.

Terminal voltage can be evaluated as:

\(R{\rm{ }} = {\rm{ }}\frac{{{R_1}({R_2} + {R_3})}}{{{R_1} + ({R_2} + {R_3})}}\)

The value here is:

\(\begin{align}{}{R_2} + {R_3}{\rm{ }} &= {\rm{ }}6 + 1.5\\{\rm{ }} &= {\rm{ }}7.5{\rm{ }}\Omega \end{align}\)

The total current then obtained is:

\(\begin{align}{}R{\rm{ }} &= {\rm{ }}\frac{{(7.5)(3)}}{{(7.5) + (3)}}\\ &= {\rm{ }}2.14{\rm{ }}\Omega \end{align}\)

The diagram drawn is:

Step 3: Evaluating the current flowing through the point

b.

The current is flowing through the value \({R_1}\).

So, the ammeter has been connected to measure the current flowing through the value of \({R_1}\), has been drawn.

Step 4: Evaluating the current flowing through the point

(c)

The current is flowing through the value \({R_2}\).

So, the ammeter has been connected to measure the current flowing through the value of \({R_2}\), has been drawn.

The calculation is then obtained as: \(214{\rm{ }}\Omega \).

Step 5: Evaluating the current flowing through the point

d.

The current is flowing through the value \({R_3}\).

So, the ammeter has been connected to measure the current flowing through the value of \({R_3}\), has been drawn.

Therefore, we get:

  1. The total current is: \(2.14{\rm{ }}\Omega \)
  2. The ammeter is connected to measure the current flowing through the value \({R_1}\).
  3. The current flowing through the point \({R_2}\) is: \(214{\rm{ }}\Omega \).
  4. The ammeter is connected to measure the current flowing through the value \({R_3}\).

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