Design a circuit to recharge a battery

AI Thread Summary
To design a circuit for recharging a 1.2-V Ni-Cd battery from a car battery at approximately 10 mA, a resistor of about 1.1 k-Ohms is suggested. The voltage of a typical car battery is generally 12V, but it can be higher when the car is running, around 13.7V. Understanding the loop equation is crucial for solving the circuit, and knowing the car battery's voltage simplifies finding the required resistance. Voltage regulation may be beneficial for maintaining a constant charging voltage. This discussion highlights the importance of accurate resistor values and the typical voltage range of car batteries.
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Homework Statement



Design a circuit to recharge a 1.2-V Ni-Cd battery from a car battery with a current of approximately 10 mA.

Homework Equations





The Attempt at a Solution



I was looking in the back of the book on this one and it had a simple circuit devised with a 12-V battery and 1.2-V battery and a resistor of 1.1 k-Ohms. I know a loop equation is needed here, but shouldn't there be at least one more known in the problem? I don't understand how to find the voltage of the car battery as well as the resistance of the resistor, but if the voltage of the car battery is known, it becomes pretty simple to find the resistance of the resistor within the circuit. How should I go about approaching this problem?
 
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Modern car batteries are generally taken to be 12V. There was a time when 6V batteries were common, too, and even today some trucks have 24V batteries. But today it's almost always 12V for a car battery.

Note that a car battery in a running car is being recharged by the alternator, and as a result can read something like 13.7V or so. But you shouldn't have to worry about this here -- no mention was made of a car in the problem, just the car battery.

If bonus points were available, you might add some voltage regulation after the car battery to ensure a constant voltage for the charging circuit :smile:
 
gneill said:
Modern car batteries are generally taken to be 12V. There was a time when 6V batteries were common, too, and even today some trucks have 24V batteries. But today it's almost always 12V for a car battery.

Note that a car battery in a running car is being recharged by the alternator, and as a result can read something like 13.7V or so. But you shouldn't have to worry about this here -- no mention was made of a car in the problem, just the car battery.

If bonus points were available, you might add some voltage regulation after the car battery to ensure a constant voltage for the charging circuit :smile:

Wow I feel dumb now. I get 1080 Ohms, while the book gets 1.1 k-Ohms, guess they rounded but easy problem. Thanks for that.
 
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