Concept explainers
(a)
The current in the circuit.
(a)
Answer to Problem 31E
The current in the circuit is
Explanation of Solution
The circuit is given in Figure 17.24. The resistances are in series and the battery are connected in such a way that the polarities are opposite to each other.
The net potential drop in the circuit can be computed as,
Here,
Since the resistors are connected in series, the net resistance of the circuit is obtained as,
Here,
Write the expression for the current according to Ohm’s law.
Conclusion:
Substitute
Substitute
Substitute
Therefore, the current in the circuit is
(b)
The power supplied by each battery.
(b)
Answer to Problem 31E
The power supplied by the
Explanation of Solution
Write the expression for power supplied by the first battery.
Here,
Similarly, the power supplied by the second battery can be computed as,
Here,
Conclusion:
Substitute
Substitute
Therefore, the power supplied by the
(c)
The power dissipated in each resistor.
(c)
Answer to Problem 31E
The power dissipated in
Explanation of Solution
Write the expression for power dissipated in the first resistor.
Here,
Write the expression for power dissipated in the second resistor.
Here,
Conclusion:
Substitute
Substitute
Therefore, the power dissipated in
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Chapter 17 Solutions
General Physics, 2nd Edition
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