### Network

#### LukeSA

Feb 2, 2018
1
State Kirchhoff’s laws and apply them to the solution
of the following problem.
Two batteries, A and B, are connected in parallel,
and an 80 Ω resistor is connected across the battery
terminals. The e.m.f. and the internal resistance of
battery A are 100 V and 5 Ω respectively, and the
corresponding values for battery B are 95 V and 3 Ω
respectively. Find (a) the value and direction of the
current in each battery and (b) the terminal voltage.

Answer: 1.069 A, discharge; 0.115 A, discharge; 94.66 V

#### Harald Kapp

##### Moderator
Moderator
Nov 17, 2011
13,476
Start by drawing the circuit diagram. For the batteries use ideal voltage sources with internal series resistance as ststed in te task description. Label the voltages and currents. This is a prerequisite for setting up the node and op equations using kirchhoff's laws. It is then only a matter of applied mathematics to solve for the unknown values.

Show us your schematic and the equations you derive from it. When you get stuck, ask specifically for help to that point.

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