The galvanometer shown in the circuit has a resistance of 5 Ω. Find the current through the galvanometer using Thevenin’s theorem.

Fig.22(a)

Added 2 years ago
Active
Viewed 1698
Ans

Equivalent resistance of the circuit Rth=10×1510+15+12×1612+16=6+6.86=12.86 Ω

Total current follow through the circuit I=1012.86=0.78 Amp.

The current passing through the branch resistances 12 Ω and 16 Ω is I1=1028=0.357 Amp.

The current passing through the branch resistances 10 Ω and 15 Ω is I2=1025=0.4 Amp.

Vx=1012×0.36=104.286=5.714 Amp.

And Vy=100.4×10=104=6 V

Hence Vo.c=VyVx=65.714=0.286 V

Fig. 22(b)

Fig. (c)

Fig. 22(d)

Here the galvanometer resistance R=5 Ω

The current through the galvanometer is IL=Vo.cRth+R=0.28612.86+5=0.016 Amp.



Related Questions