Example Problems 1. A 12 V battery with an internal resistance of 1 ohm is connected to four aWW 1229 other resistors as shown at right. Find (a) the voltage across and the Γ t current through each resistor. (b) the voltage Vab across the battery. and (c) the the electrical potential at point c. 6Ω Solution 1: (Find equivalent resistance and work backward to get voltage and current.)
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To find the voltages and current in the given circuit, equivalent resistance is required.
First 1Ω and 2Ω are in series connection, their equivalent is 1+2= 3Ω. (fig:a)
This 3Ω and 6Ω are in parallel, their equivalent is (3*6)/(3+6)=2Ω. (fig:b)
Now, 1Ω, 2Ω and 3Ω are in series, their equivalent is, Req= 1+2+3 = 6Ω. (fig:c)
Using Ohm’s Law, find the total current in the circuit, i.e.,
Cuurent in each resistance is required to know to find the voltage across each resistance.
From the circuit, given,
As the internal resistance 1Ω and external resistance 3Ω arein series, therefore, the Current in 1Ω and 3Ω is 2A.
Current in 6Ω and 3Ω parellel combination, can be found using the voltage divider rule.
Current in 6Ω and 3Ω is given as:
Using Ohm’s Law, V=IR, voltages across each resistance can be calculated as ,
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