Wheatstone bridge ABCD is arranged as follows: AB= 1 ohm, BC = 2 ohm, CD = 3 ohm, DA = 4 ohm. A resistance of 5 ohm is connected between B and D. A 4 volt battery of internal resistance 1 ohm is connected between A and C. Calculate the magnitude and direction of currents flowing through each resistance.
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0.36 A
The balanced condition for Wheatstones bridge is
Q
P
=
S
R
as is obvious from the given values.
No, current flows through galvanometer is zero.
Now, P and R are in series, so
Resistance,R
1
=P+R
=10+15=25Ω
Similarly, Q and S are in series, so
Resistance R
2
=R+S
=20+30=50Ω
Net resistance of the network as R
1
and R
2
are in parallel
i=
R
V
=
50
6×3
=0.36 A.
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