Turning Sources Off

Turning off a source, which is usually used in solving circuits with superposition method, means setting its value equal to zero. For a voltage source, setting the voltage equal to zero means that it produces zero voltage between its terminals. Therefore, the voltage source must insure that the voltage across two terminals is zero. Replacing the source with a short circuit can do that. Thus, voltage sources become a short circuit when turned off.

For a current source, setting the current equal to zero means that it produces zero current. Therefore, the current source must insure that no current flows through its branch. An open circuit can do that. Hence, to turn off a current source it should be replaced by an open circuit.

How about dependent sources? The voltage/current of a dependent source is dependent on other variables of the circuit. Therefore, dependent sources cannot be turned off.

Example I: Turn off sources one by one.

turning sources off example 1-1
Example 1

Solution:
I) The voltage source:

turning sources off example 1-2
Turning off the voltage source


II) The current source:

turning sources off example 1-3
Turning off the current source

Example 2: For each source, leave the source on and turn off all other sources.

turning sources off 2-1
Example 2

Solution
I.  V_1:

turning sources off 2-2
Contribution of V_1

II.  V_2:

turning sources off 2-3
Contribution of V2

III.  I_1:

turning sources off 2-4
Contribution of I1

IV.  I_2:

turning sources off 2-5
Contribution of I2

Example 3: For each source, leave the source on and turn off all other sources.

turning sources off 3-1
Example 3

Solution
I.  V_1:

turning sources off 3-2
Contribution of V1

II.  I_1

turning sources off 3-3
Contribution of I1

Recall that dependent sources cannot be turned off.

Comments

6 responses to “Turning Sources Off”

  1. Sonali Choudhury Avatar
    Sonali Choudhury

    notes are very helpfull. Thank you.

  2. john abshire Avatar
    john abshire

    my question is about a 2A current source in series with a 10 ohm resistor, and there is an unknown voltage across the branch. I understand the current source will supply 2 amps of current, regardless of the voltage across it. However, does the 10 ohm resistor also have 2 amps of current thru it (and 20 volts across it) always, completely independent of the voltage across the branch, or does the total current thru the branch (and current thru the resistor) depend on the voltage across the branch? (i may be answering my own question, that is if the voltage influenced the resistor, it would also have to pull more than 2 amps through the current source, and since that impedence is infinite, that can’t be. Is this correct, that the current through the 10 ohm resistor will always be 2 amps?) If this is true, is the voltage across the branch equal to the voltage across the resistor, i.e. 20 volts?

  3. akash64259 Avatar
    akash64259

    i think you are doing a great job sir.
    i respect you.

  4. tunde Avatar
    tunde

    Sir you bush me forward in course of study thank you sir.

  5. tunde Avatar
    tunde

    Sir.
    you bush me forward In my course of study thank you sir.

  6. Andi Avatar
    Andi

    What if the current the dependent voltage source depends on is zero? Do we consider it as short circuit?

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