Finding currents and power in a circuit with dependent source

  • Thread starter Imposta
  • Start date
  • Tags Tags
    Circuits
2 replies · 2K views · last reply
Imposta
Messages
3
Reaction score
0
My teacher has been absent most of the semester and the substiute hasn't been much help so I was wondering if you guys could help me out. Thanks

1. Find i1 and i2.
Circuit schematic with a 36 V voltage source on the left in series with a 4Ω resistor on top; a 3Ω resistor hangs down from the middle node, and a 3Ω resistor on the top-right branch is followed by another 3Ω resistor on the right, with currents i1 and i2 labelled.


2. (a) Determine the value of i.
(b) Find the power supplied by the dependent voltage source.

Circuit schematic: 36 V source with current i flowing through a 2 Ω resistor into a dependent voltage source labelled 3 Va, feeding a 6 Ω resistor and a 12 Ω resistor in parallel across Va.


3. (a) Find R if V1=30 V.
(b) Find R if power supplied by the current source is 1575 W.

Circuit schematic: a 10 A current source on the left feeds a 12 Ω resistor along the top wire, then a node with resistor R marked V1 with + above and - below, and a branch with 3R on the right; all branches return along the bottom wire.
 
Attachments
  • Circuit schematic: a 36 V voltage source on the left feeds a 4Ω resistor on top, then a middle branch with a 3Ω resistor shown with current i1 flowing down, and a right branch with a 3Ω resistor on top and a 3Ω resistor below, with current i2 flowing down.
    1.JPG
    5 KB · Views: 416
  • Circuit schematic: a 36 V voltage source in series with a 2 Ω resistor and a dependent voltage source labelled 3 Va, with Va across a 6 Ω resistor and a 12 Ω resistor in parallel; current i is marked in the wire.
    2.JPG
    4.8 KB · Views: 410
  • Circuit schematic with a 10 A current source on the left in series with a 12 Ω resistor along the top; a resistor R with voltage V1 marked (+ above, − below) in a middle branch; and a 3R resistor in the right branch, all joined by a bottom wire.
    3.JPG
    4 KB · Views: 439
Imposta said:
My teacher has been absent most of the semester and the substiute hasn't been much help so I was wondering if you guys could help me out. Thanks

1. Find i1 and i2.
Circuit schematic with a 36 V voltage source on the left feeding a 4 Ω resistor on top, then a 3 Ω resistor down the middle branch; currents i1 and i2 are labeled in the right-hand branches, which contain 3 Ω resistors.


2. (a) Determine the value of i.
(b) Find the power supplied by the dependent voltage source.

Circuit schematic with a 36 V independent voltage source, a 2 Ω resistor carrying current i, a dependent voltage source labelled 3 Va, and parallel 6 Ω and 12 Ω resistors with voltage Va across them.


3. (a) Find R if V1=30 V.
(b) Find R if power supplied by the current source is 1575 W.

Circuit schematic with a 10 A current source on the left in series with a 12 Ω resistor, then a node with a resistor R carrying voltage V1 (+ at top, − at bottom) and a 3R resistor in parallel with it.

It doesn't matter if your teacher is AWOL. You know how to use wikipedia and other learning resouces on the Internet. We do not do your homework for you here at the PF. Show us your KCL or KVL equations as an attempt at the solution. Then we can offer tutorial help if you have problems.
 
Did you read the bit above where it says not to put homework here?

The second and third question are at a much higher level than the first one, so I have to wonder if you really couldn't do even the first one?

Without doing it for you,
What is 3 ohms in series with 3 ohms?

What is the result of putting 3 ohms across this combination?

What is the result of putting 4 ohms in series with this combination?

Now put 36 volts across the whole set of resistors and what current flows?

How much voltage is there across the 4 ohm resistor?

How much voltage is across the combination of 3 ohm resistors?

So, how much current is flowing in the single 3 ohm resistor?

How much is flowing in the series 3 ohm resistors?