find the resistance of the conductor when 2A of current flowing in a circuit which is connected to 120v battery
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Answered by
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I
1
=2A,I
2
=0.5A
R
1
=2Ω,R
2
=9Ω
Supplied voltage is same.
To find,
Internal Resistance of battery,r=?
E=V+I⋅r
E=I⋅R+I⋅r
E=I⋅(R+r)
∴I=
(R+r)
E
E
1
=2⋅(2+r) and E
2
=0.5⋅(9+r)
As the supplied voltage is same,
So, E
1
=E
2
⇒2⋅(2+r)=0.5⋅(9+r)
⇒
0.5
2
=
2+r
9+r
⇒4=
2+r
9+r
⇒4⋅(2+r)=(9+r)
⇒8+4r=9+r
⇒4r−r=9−8
⇒3r=1
⇒r=
3
1
Ω
Therefore, Internal Resistance of battery is
3
to
1
Ω
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