Procedure This figure represents the simplest possible ac circuit--an ac voltage source connected to a single load. The source voltage is expressed with zero phase - V
_{T}Ð0° V for the rectangular form - V
_{T} +j0 V in rectangular form The load may be - Purely resistive: Z
_{1}Ð0° W - Purely inductive: Z
_{1}Ð+90° W - Purely capacitive: Z
_{1}Ð-90° W - Inductive with a resistive component: Z
_{1}Ðq where q does not equal 0°, +90° or -90° - Capacitive with a resistive component: Z
_{1}Ð-q where q does not equal 0°, +90° or -90° The total impedance of the circuit is equal to Z_{1}: Z_{T} = Z_{1} The total current is determined by Ohm's law: | Examples **Example 1** Given: Z_{1} = 50 W, V_{T} = 12 V Find: Z_{T}, I_{T} Solution: Z_{T} = Z_{1} **Z**_{T} = 50Ð0° W **I**_{T} = 0.24Ð0° A Note: This is a purely resistive circuit. **Example 2** Given: Z_{1} = 24Ð90° W, V_{T} = 12V Find: Find: Z_{T}, I_{T} Solution Z_{T} = Z_{1} **Z**_{T} = 24Ð90° W **I**_{T} = 0.5Ð-90° A Note: This is a purely inductive circuit. **Example 3** Given: Z_{1} = 10Ð-50° W, V_{T} = 12 V Find: Z_{T}, I_{T} Solution Z_{T} = Z_{1} **Z**_{T} = 10Ð-50° W **I**_{T} = 1.2Ð50°A Note: This is an RL circuit. |