Question
Asked Sep 9, 2019
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Please read carefully.
Assume that the resistor R equals 100 ohms. Also assume that where the resistor R, the 500 ohm resistor and the dependent current source come together is an actual connection point (i.e., node). Show that power balance for this circuit is achieved.
 
Exercise 2.3.3
12 V
R
Io
310
ww-
500 Q
6 mA
- VL
w
500 Q
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Exercise 2.3.3 12 V R Io 310 ww- 500 Q 6 mA - VL w 500 Q

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Expert Answer

Step 1

Mark all the branches with their currents as shown below-

12 V
R
1
310
wr
500 Q
6 mA
31,+6
-VL
500 Ω
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12 V R 1 310 wr 500 Q 6 mA 31,+6 -VL 500 Ω

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Step 2

Applying KVL in first loop 1, which states that the algebraic sum of all the voltages in a loop is equal to the zero.

-12 RxI 500 x I = 0
As R 100
Therefore
500 x I, = 0
-12 100x
600112
12
I
600
I 0.02A
I =20mA
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-12 RxI 500 x I = 0 As R 100 Therefore 500 x I, = 0 -12 100x 600112 12 I 600 I 0.02A I =20mA

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Step 3

Applying Ohm’s law , which states that the voltage across any conductor is e...

VIx R
Where
I (31, 6)mA
V (31, 6)500
V(3x 20+6)500
V, 33000mV
V = 33V
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VIx R Where I (31, 6)mA V (31, 6)500 V(3x 20+6)500 V, 33000mV V = 33V

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