Physics of Everyday Phenomena
Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Chapter 13, Problem 3SP

In the circuit shown, the 8-V battery is opposing the 12-V battery as they are positioned. The total voltage of the two batteries will be found by subtracting.

a.    What is the current flowing around the circuit?

b.    What is the voltage difference across the 20 Ω resistor?

c.    What is the power delivered by the 12-V battery?

d.    Is the 12-V battery discharging or charging in this arrangement?

Chapter 13, Problem 3SP, In the circuit shown, the 8-V battery is opposing the 12-V battery as they are positioned. The total

(a)

Expert Solution
Check Mark
To determine

The current flowing in the circuit.

Answer to Problem 3SP

The current through the circuit is 0.057A.

Explanation of Solution

Given info: The given circuit is shown below.

Physics of Everyday Phenomena, Chapter 13, Problem 3SP , additional homework tip  1

The two batteries in the given circuit have opposite polarity in the circuit. So the net potential difference of the circuit will be the difference of the two potential of the two batteries.

Write the formula for the net potential difference of the circuit.

V=V1V2

Here,

V is the net potential difference of the circuit

V1 is the potential of first battery

V2 is the potential of the second battery

The two resistance in the circuit are in series.

Write the formula for the equivalent resistance of the two resistances.

R=R1+R2

Here,

R is the equivalent resistance

R1 is the first resistance

R2 is the second resistance

Write the formula for current.

I=VR

Here,

I is the current in the circuit

Substitute the expression for R and I in the above equation.

I=V1V2R1+R2

Substitute 12V for V1, 8V for V2, 50Ω for R1, 20Ω for R2 to determine I.

I=12V8V50Ω+20Ω=0.057A

Conclusion:

The current through the circuit is 0.057A.

(b)

Expert Solution
Check Mark
To determine

The voltage difference across the 20Ω resistor.

Answer to Problem 3SP

The voltage difference across the 20Ω resistor is 1.14V.

Explanation of Solution

Given info: The given circuit is shown below.

Physics of Everyday Phenomena, Chapter 13, Problem 3SP , additional homework tip  2

The two batteries in the given circuit have opposite polarity in the circuit. So the net potential difference of the circuit will be the difference of the two potential of the two batteries.

Write the formula for the voltage difference across a resistor when two resistors are in series.

V1=(R1R1+R2)V

Here,

V is the net potential difference of the circuit

R1 is the first resistance

R2 is the second resistance

V1 is the potential across the first resistance

V2 is the potential across the second resistance

Substitute 4V for V, 20Ω for R1, 50Ω for R2 to determine V1.

I=(20Ω50Ω+20Ω)(4.0V)=1.14V

Conclusion:

The voltage difference across the 20Ω resistor is 1.14V.

(c)

Expert Solution
Check Mark
To determine

The power delivered by the battery with voltage 12V

Answer to Problem 3SP

The power delivered by the battery with voltage 12V is 0.686W.

Explanation of Solution

Given info: The given circuit is shown below.

Physics of Everyday Phenomena, Chapter 13, Problem 3SP , additional homework tip  3

Write the formula for the power delivered.

P=VI

Here,

P is the power delivered

V is the voltage

I is the current

From section (a) the current in the circuit is 0.057A.

Substitute 0.057A for I, 12V for V to determine P.

P=(12V)(0.057A)=0.686W

Conclusion:

The power delivered by the battery with voltage 12V is 0.686W.

(d)

Expert Solution
Check Mark
To determine

Whether the battery with voltage 12V is discharging or charging.

Answer to Problem 3SP

The battery with voltage 12V is charging.

Explanation of Solution

Given info: The given circuit is shown below.

Physics of Everyday Phenomena, Chapter 13, Problem 3SP , additional homework tip  4

The overall voltage of the circuit is 4V. Current flows from the positive terminal to the negative terminal of the 12V battery.

Thus the battery with voltage 12V is charging.

Conclusion:

The battery with voltage 12V is charging.

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Chapter 13 Solutions

Physics of Everyday Phenomena

Ch. 13 - Consider the two signs shown, which are located in...Ch. 13 - If we decrease the potential difference across a...Ch. 13 - Prob. 13CQCh. 13 - When a battery is being used in a circuit, will...Ch. 13 - Two resistors are connected in series with a...Ch. 13 - In the circuit shown below. R1, R2,. and R3 are...Ch. 13 - In the circuit shown in question 16, which of the...Ch. 13 - If we disconnect R2, from the rest of the circuit...Ch. 13 - When current passes through a series combination...Ch. 13 - In the circuit shown, the circle with a V in it...Ch. 13 - In the circuit shown, the circle with an A in it...Ch. 13 - Which will normally have the larger resistance, a...Ch. 13 - Is electric energy the same as electric power?...Ch. 13 - If the current through a certain resistance is...Ch. 13 - Prob. 25CQCh. 13 - What energy source increases the potential energy...Ch. 13 - Prob. 27CQCh. 13 - Prob. 28CQCh. 13 - Prob. 29CQCh. 13 - Prob. 30CQCh. 13 - Prob. 31CQCh. 13 - Prob. 32CQCh. 13 - Why does a bimetallic strip bend when the...Ch. 13 - A charge of 28 C passes at a steady rate through a...Ch. 13 - A current of 4.5 A flows through a battery for 3...Ch. 13 - Prob. 3ECh. 13 - A current of 1.5 A is flowing through a resistance...Ch. 13 - A current of 0.522 A flows through a resistor with...Ch. 13 - Four 22 resistors are connected in series to an...Ch. 13 - A 47 resistor and a 28 resistor are connected in...Ch. 13 - In the circuit shown, the 1 resistance is the...Ch. 13 - Three resistors are connected to a 12-V battery as...Ch. 13 - Two resistors, each having a resistance of 40 ....Ch. 13 - Prob. 11ECh. 13 - Three identical resistances, each 30 , are...Ch. 13 - A 9-V battery in a simple circuit produces a...Ch. 13 - A 80 resistor has a voltage difference of 12 V...Ch. 13 - A 75-W light bulb operates on an effective ac...Ch. 13 - A toaster draws a current of 9.0 A when it is...Ch. 13 - A clothes dryer uses 6600 W of power when...Ch. 13 - In the circuit shown, the internal resistance of...Ch. 13 - Three 36 lightbulbs are connected in parallel to...Ch. 13 - In the circuit shown, the 8-V battery is opposing...Ch. 13 - In the combination of 12 resistors shown in the...Ch. 13 - A 850-W toaster, a 1200-W waffle iron, and a...
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