Concept explainers
(a)
The current in the circuit.
(a)
Answer to Problem 23E
The current in the circuit is
Explanation of Solution
Given that the voltage is
Write the expression for the current according to Ohm’s law.
Here,
Conclusion:
Substitute
Therefore, the current in the circuit is
(b)
The charge transported through the circuit in
(b)
Answer to Problem 23E
The charge transported through the circuit in
Explanation of Solution
It is obtained that the current in the circuit is
Write the expression for current in terms of charge transported.
Here,
Solve equation (II) for
Conclusion:
Substitute
Therefore, the charge transported through the circuit in
(c)
The work done on the charge by the electric fields in the battery.
(c)
Answer to Problem 23E
The work done on the charge by the electric fields in the battery is
Explanation of Solution
The work done on the charge by the electric field in the battery can be found out by the formula,
Here,
The negative sign indicates that the electric field direction is opposite to the direction of motion of charge (electron).
Conclusion:
Substitute
Therefore, the work done on the charge by the electric fields in the battery is
(d)
The work done on the charge by the electric fields in the resistor.
(d)
Answer to Problem 23E
The work done on the charge by the electric fields in the resistor is
Explanation of Solution
The work done on the charge by the electric fields in the resistor can be computed as,
Here,
Conclusion:
Substitute
Therefore, the work done on the charge by the electric fields in the resistor is
(e)
The total work done by the electric fields on the charge.
(e)
Answer to Problem 23E
The total work done by the electric fields on the charge is zero.
Explanation of Solution
It is obtained that the work done on the charge by the electric fields in the battery is
The total work done by the fields is the sum of the two works done obtained above.
Conclusion:
Substitute
Therefore, the total work done by the electric fields on the charge is zero.
(f)
The energy converted to heat.
(f)
Answer to Problem 23E
The energy converted to heat is
Explanation of Solution
The energy converted to heat is equivalent to the work done on the charge by the electric field in the resistor, which is given by the equation (V) and obtained in part (d) as
Conclusion:
Therefore, the energy converted to heat is
(g)
The source of heat energy in the circuit.
(g)
Answer to Problem 23E
The source of heat energy in the circuit is the chemical energy in the battery.
Explanation of Solution
In the circuit, the source of electromotive force is the battery. The
The charges are driven by the electromotive force and these charges experiences resistance of the conductor or resistance and as a result the electrical energy to heat energy conversion takes place. Fundamentally the source of heat energy in the circuit is the chemical energy in the battery.
Conclusion:
Therefore, the source of heat energy in the circuit is the chemical energy in the battery.
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Chapter 17 Solutions
General Physics, 2nd Edition
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