Complex Circuits

Key points

  • Complex circuits have connections in both series and parallel.
    • Solve for current and voltage by combine resistors and finding their equivalent resistance.

Complex Circuits combine their components in a more complicated arrangement:

  • Connections are be in both series in parallel.
    • They can be part of multi-loop circuits.
  • Often, you will have to solve for current or voltage.
    • Solve for these by finding the overall equivalent resistance, using the equations for equivalent resistance in both series and parallel.
      • In the example to the right, the 3 and 5 ohm resistors are combined in series, and then the resultant resistor is combined with the 24 ohm resistor in parallel.
  • Simplifying these circuits is the best way to solve for them
    • This requires lots of practice
Acceleration is the rate of change of velocity

The Kinematic Equations are the same – but used for each component (vertical/horizontal)

  • If velocity is not changing, then there is no acceleration
  • Acceleration is a vector quantity

Suppose we choose a time interval from t = 0 to some arbitrary time t later. 

Let the velocity at time t = 0 (initial velocity) be and the velocity at time t be v (final velocity). Then we get the following expression for acceleration: 

Not in Formula Booklet but important

IB Kinematics Formula Equation #1

Formula Booklet

IB Kinematics Formula Equation #1
  • Rewriting the expression above leaves us with the formula booklet expression. 
  • The final velocity is equal to initial velocity plus the acceleration the object experienced during a given time interval

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