Electrical Circuits

Step 1: Using Ohm’s Law for the Charging Circuit
The total resistance in the circuit is:

R_%7B%5Ctext%7Btotal%7D%7D%20%3D%20R_%7B%5Ctext%7Bseries%7D%7D%20%2B%20R_%7B%5Ctext%7Binternal%7D%7D%20%3D%2015.5%20%2B%200.5%20%3D%2016%20%5COmega

The charging current

I

is given by:

I%20%3D%20%5Cfrac%7BV_%7B%5Ctext%7Bsupplied%7D%7D%20-%20V_%7B%5Ctext%7Bbattery%7D%7D%7D%7BR_%7B%5Ctext%7Btotal%7D%7D%7D

I%20%3D%20%5Cfrac%7B120%20-%208%7D%7B16%7D%20%3D%20%5Cfrac%7B112%7D%7B16%7D%20%3D%207A

Step 2: Calculating the Terminal Voltage
The terminal voltage

V_%7B%5Ctext%7Bterminal%7D%7D

of the battery during charging is:

V_%7B%5Ctext%7Bterminal%7D%7D%20%3D%20V_%7B%5Ctext%7Bbattery%7D%7D%20%2B%20I%20R_%7B%5Ctext%7Binternal%7D%7D

V_%7B%5Ctext%7Bterminal%7D%7D%20%3D%208%20%2B%20(7%20%5Ctimes%200.5)%20%3D%208%20%2B%203.5%20%3D%2011.5V

Step 3: Conclusion
Thus, the terminal voltage of the

8V

battery during charging is

%5Cmathbf%7B11.5V%7D

Chapter Questions
1 MCQs