Electrical Engineering - Circuit Theorems and Conversions - Discussion
Discussion Forum : Circuit Theorems and Conversions - General Questions (Q.No. 24)
24.
Referring to the given circuit, determine VTH and RTH if a 68
resistor is connected in parallel across R2 and R3.



Discussion:
6 comments Page 1 of 1.
PinayFlix said:
2 years ago
In order to solve this problem you just need to imagine there is an 68-ohm resistor in parallel in the current 20-ohm and 68-ohm resistors that is in series.
If we solve for rth its going to be:
RTH = 68//(68+20)//100 + 120 = 148 ohms.
To solve for vth you need to use the current divider rule:
VTH = 12 [(12)*(68//88)/(68//88 + 100)] = 3.3 volts.
If we solve for rth its going to be:
RTH = 68//(68+20)//100 + 120 = 148 ohms.
To solve for vth you need to use the current divider rule:
VTH = 12 [(12)*(68//88)/(68//88 + 100)] = 3.3 volts.
(1)
Latha said:
4 years ago
@Nivi.
Given 68-ohm resistor is parallel across R2 and R3.
R2 + R3 = 68 + 20 =88.
Now 68 becomes parallel to 88, (68 || 88) solving this gives 38.35
68||88 = (68*88)/(68+88) = 38.35.
Given 68-ohm resistor is parallel across R2 and R3.
R2 + R3 = 68 + 20 =88.
Now 68 becomes parallel to 88, (68 || 88) solving this gives 38.35
68||88 = (68*88)/(68+88) = 38.35.
Nivi said:
5 years ago
@Kiran Kishore.
How you got 38.35?
How you got 38.35?
Pocahontas said:
1 decade ago
68 ohm resistor is in parallel with R2 and R3 meaning when we get the Rth ....100, 88(68+20), and 68 are all in parallel and the 120 resistor in series
(1/100 + 1/88 + 1/68)^-1 +120= 147.72 ohms or 148 ohms.
To get Vth use mesh analysis
We get the following equations:
188I1 -88I2 = 12.
-88I1 +156I2 = 0.
Solving simultaneously we get I2=0.048925.
0.048925*68 = 3.3V.
(1/100 + 1/88 + 1/68)^-1 +120= 147.72 ohms or 148 ohms.
To get Vth use mesh analysis
We get the following equations:
188I1 -88I2 = 12.
-88I1 +156I2 = 0.
Solving simultaneously we get I2=0.048925.
0.048925*68 = 3.3V.
Kiran kishore said:
1 decade ago
Vth=12*38.35/100+38.35=3.327.
Rth=120+(100*38.35)/(100+38.35)=147.8(148 approx).
38.35=(68+20)*68/(88+68)
Be cause we connect a resistor parallel to R2 & R3.
Rth=120+(100*38.35)/(100+38.35)=147.8(148 approx).
38.35=(68+20)*68/(88+68)
Be cause we connect a resistor parallel to R2 & R3.
Maya said:
1 decade ago
I'm not understand. How it is?
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