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```SPH3U
Name: _____________
U4 ELECTRICITY & MAGNETISM:
Lesson 3 & 5 Complex Circuits & Power
CIRCUIT ANALYSIS
Series Circuit vs. Parallel Circuit
Series
- Only ONE path for charges to flow (ie.
electrons passes through each resistors in
a consecutive fashion)
Parallel
- Multiple pathways for charges to flow (ie.
electrons reach a “fork in the road” and
choose which way to flow)
When all the devices are connected using
series connections, the circuit is referred to
as a “series circuit”
When all the devices are connected using
parallel connections, the circuit is referred to
as a “parallel circuit”. Each device is placed
on its own branch.
Solving a circuit means finding all missing values for: Current (I), Electric potential difference (V), and
Resistance (R)
Tools for Circuit Analysis Problems:
Kirchoff’s Current Law
I series = I1 = I 2 = I3 = ...
I parallel = I1 + I 2 + I 3 + ...
Kirchoff’s Voltage Law
Vseries = V1 + V2 + V3 + ...
V parallel = V1 = V2 = V3 = ...
V = IR
Ohm’s Law
Rseries = R1 + R2 + R3 + ...
1
Rparallel
=
1 1
1
+ + + ...
R1 R2 R3
Page 9 of 41
SPH3U
Name: _____________
Example 1: Solve each circuit below
a)
b)
Page 10 of 41
SPH3U
Name: _____________
Example 2: Solve the circuit below (NOTICE all resistances are given for the parallel part)
Page 11 of 41
SPH3U
Name: _____________
Example 3: Solve the circuit below (NOTICE only some resistances are given)
Page 12 of 41
```