(a)
The emf of the battery.
(a)
Answer to Problem 45AP
The emf of the battery is
Explanation of Solution
Given info: The open circuit voltage of the battery is
In an open circuit current the current of the battery is
Formula to calculate the emf of the battery is,
Here,
Substitute
Conclusion:
Therefore, the emf of the battery is
(b)
The resistance of the battery.
(b)
Answer to Problem 45AP
The resistance of the battery is
Explanation of Solution
Given info: The open circuit voltage of the battery is
Formula to calculate the internal resistance of the battery is,
Here,
Substitute
Conclusion:
Therefore, resistance of the battery is
(c)
The open circuit voltage of the battery.
(c)
Answer to Problem 45AP
The open circuit voltage of the battery is
Explanation of Solution
Given info: The open circuit voltage of the battery is
Formula to calculate the total emf of the battery is,
Here,
Substitute
The total emf of the battery is equal to the open circuit voltage of the battery.
Conclusion:
Therefore, the open circuit voltage of the battery is
(d)
The short circuit current of the pair of connected batteries.
(d)
Answer to Problem 45AP
The short circuit current of the pair of connected batteries is
Explanation of Solution
Given info: The open circuit voltage of the battery is
The total resistance in the battery is,
Here,
Substitute
Thus, the internal resistance of the battery is
Formula to calculate the short circuit current of the batteries is,
Here,
Substitute
Conclusion:
Therefore, the short circuit current of the pair of connected batteries is
(e)
The current in the resistor if the
(e)
Answer to Problem 45AP
The current in the resistor
Explanation of Solution
Given info: The open circuit voltage of the battery is
The total series resistance in the battery is,
Here,
Substitute
Thus, the total series resistance of the battery is
Formula to calculate the current in the resistor
Here,
Substitute
Conclusion:
Therefore, the current in the resistor
(f)
The power delivered to the resistor.
(f)
Answer to Problem 45AP
The power delivered to the resistor is
Explanation of Solution
Given info: The open circuit voltage of the battery is
Formula to calculate the power delivered to the resistor is,
Here,
Substitute
Conclusion:
Therefore, the power delivered to the resistor is
(g)
The power delivered to each resistor.
(g)
Answer to Problem 45AP
The power delivered to each resistor is
Explanation of Solution
Given info: The open circuit voltage of the battery is
The batteries are connected in series. The voltages of the both batteries are same.
The equivalent internal resistance in the battery is,
Here,
Substitute
Thus, the total resistance of the resistor is
Formula to calculate the current in the batteries is,
Here,
Substitute
Thus, the current produced in the batteries is
Formula to calculate the terminal voltage across both batteries is,
Here,
Substitute
Thus, the terminal voltage across both batteries is
Formula to calculate the power delivered to each resistor is,
Here,
Substitute
Conclusion:
Therefore, the power delivered to each resistor is
(h)
The reason for the power in part (g) is not same as in part (f).
(h)
Answer to Problem 45AP
The internal resistance of the batteries and the terminal voltage of the batteries is not same in both cases.
Explanation of Solution
Given info: The open circuit voltage of the battery is
In part (g), the total internal resistance of the resistor is
Conclusion:
Therefore, the internal resistance of the batteries and the terminal voltage of the batteries is not same in both cases.
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Chapter 27 Solutions
Physics for Scientists and Engineers with Modern Physics
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