43) Calculate the potential difference between B and D points in the given figure. An e.m.f. of 12 V is connected to the circuit.

Question

43) Calculate the potential difference between B and D points in
the given figure An e m f of 12 V is connected to the circuit

Sayantan · Accepted Answer

Dear Student,

The 2 arms are in parrallel

Thus, the current in the two arms are
total resistance of arm 1= 6+2=8 ohmthat of arm 2= 8+12 = 20 ohmThus, effective resistance
  R=8×2028  or, R=407 or, 5
71 ohmNow, current in the circuit:  1240×7=2
1 ACurrent in loop 1: 128  or  I1=1
5 APotential of Point B= 12-1
5×6 :=3 VCurrent in loop 2: 1220  or 0
6 APotential at Point C:  12-0
6×8= 7 2 VP DBD=3-7 2 = -4
2 Vor, P DDB=4 2 V