find equivalent resistance of this circuit diagram?
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Answer:
a circuit with three resistor in combination of parallel and series, a 4V battery and an ammeter, A.
To find (A) equivalent resistance, (B) current shown by the ammeter A
Solution:
Let, R
1
=5Ω,R
2
=3Ω,R
3
=2Ω,V=4V
And let the total current flowing in the circuit be I
From the circuit, it is clear that R
2
and R
3
are in series,
Therefore, R
s
=R
2
+R
3
=3+2=5Ω
And this series combination is in parallel with R
1
,,
Therefore, the equivalent resistance of the circuit is,
R
eq
=
R
1
+R
s
R
1
×R
s
⟹R
eq
=
5+5
5×5
⟹R
eq
=
10
25
=2.5Ω
Now Net current in the circuit is, I=
R
V
=
2.5
4
=1.6A
So the ammeter reading is 1.6A
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