Using Kirchhoff’s junction rule at junction A,2 + 5 - 2 - 1 + IAB = 0;IAB = - 4A
The current IAB is directed away from the junction A. Using the junction rule at B 4 + 0.2 - 1.7 - I = 0;
I = 2.5A
The resistance in the arm CAD RCAD = 4 + 6 = 10Omega .
The resistance in the arm CBD RCBD = 6 + 4 = 10Omega
Since the resistances in both the arms are equal, the current splits equally in the arms.ICAD = ICBD = 4/2 = 2A.
The potential difference across A and C.VAC = VA - VC = ICAD * RAC = 2 * 4 = 8V
potential difference across B and C VBC = VB - VC = ICBD * RBC = 2 * 6 = 12V.The potential difference across A and B VBA = VB - VA = VBC - VAC = 12 - 8 = 4V.
Point B is at a higher potential when compared to A.
To balance bridge
So X = 90
The current in the circuit
V1 =5 V is the p.d across the first coil of resistance R1=2Ω. The same current flows through the second coil of resistance X. . The p.d across the second coil V2 =12.5 V.
The balance point when 8Ω is in the left gap will be 40 cm.
The power is related to resistance as,
So Power increases by 11%.