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A Single Circuit Element
A Single Circuit Loop
Kirchhoff’s Voltage Law Example
(a) Total Resistance (RT)
R_{T} = R_{1} + R_{2} + R_{3} = 10Ω + 20Ω + 30Ω = 60Ω
Then the total circuit resistance R_{T} is equal to 60Ω
(b) Circuit Current (I)
Thus the total circuit current I is equal to 0.2 amperes or 200mA
(c) Current Through Each Resistor
The resistors are wired together in series, they are all part of the same loop and therefore each experience the same amount of current. Thus:
(d) Voltage Drop Across Each Resistor
(e) Verify Kirchhoff’s Voltage Law
V_{S} + (IR_{1}) + (IR_{2}) + (IR_{3})= 0
12 + (0.2 X 10) + (0.2 X 20) + (0.2 X 30) = 0
12 + (2) + (4) + (6) = 0
∴ 12  2  4  6 = 0
Thus Kirchhoff’s voltage law holds true as the individual voltage drops around the closed loop add up to the total.
Kirchhoff’s Circuit Loop
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