Current Controlled Current Source (CCCS)


Here is a circuit that contains a Current Controlled Current Source (CCCS). The gain of the CCCS can be changed using the scrollbar.



When the gain of the CCCS is equal to 4 A/A this is the circuit considered in problem P2.7-3 of Introduction to Electric Circuits, 7e by R.C. Dorf and J.A. Svoboda. In problem P2.7-3 the gain of the CCCS is denoted by the symbol d. Then

Ia = d * Ib

where d is the gain of the dependent source. Notice that the units of d are A/A. The currents Ia and Ib, both in Amps, are measured using the ammeters. Thus the gain of the dependent source can be determined from the meter readings.

Notice that

Vs = R * Ib

where R = 3 Ohms and Vs = 24 V. Thus

Ib = 8 A

regardless of the value of the gain of the CCCS.



Challenges:

  1. Set the gain of the CCCS equal to 4 A/A to check the answer to Problem P2.7-3.

  2. Determine the gain of the CCCS required to cause Ia = 40 A. Verify that the meter readings are consistent with the gain of the dependent source.

  3. Predict the value of Ia when the gain of the CCCS is 8 A/A. Check your prediction using the scrollbars.

  4. Predict the gain of the CCCS required to cause Ia = 88 A. Check your prediction using the scrollbars.