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Numerical - Gate-to-source voltage
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Q. What is the value of gate-to-source voltage (V
GS
) for the circuit diagram shown below?
- Published on 24 Sep 15
a.
1.5 V
b.
2.9 V
c.
3.5 V
d.
4.9 V
ANSWER: 2.9 V
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Discussion
suranjan mallick
-Posted on 09 Jul 17
good.
Satyawati
-Posted on 05 Oct 15
Given data: V
DD
= 5V
Drain current (I
D
) = 0.3 mA
Source resistance (R
s
) = 7kΩ
To determine:Gate-to-source voltage (V
GS
) for the given circuit diagram
Formula: From the given circuit diagram, by applying KVL to drain- source loop,
V
DD
= V
DS
+ I
D
R
S
Method of computation:
From the given circuit diagram, by applying KVL to drain- source loop,
V
DD
= V
DS
+ I
D
R
S
---------(1)
But, V
DS
= V
GS
Therefore, by replacing V
DS
by V
GS
, we can write,
V
DD
= V
GS
+ I
D
R
S
-----------(2)
By re-arranging the terms, we can write,
V
GS
= V
DD
- I
D
R
S
----------(3)
Now, substituting the given values of V
DD
, I
D
& R
S
in the equation (3),
V
GS
= V
DD
- I
D
R
S
= 5 – [(0.3 x 10
-3
) x (7 x 10
3
)]
= 5 – 2.1
= 2.9 V
Therefore, the gate-to-source voltage (V
GS
) for the given circuit is estimated to be 2.9 V
➨
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