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Found in: Page 773

### College Physics (Urone)

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

# 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 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 $${R_3}$$.