The current flowing through the 1 Ω resistor is n/10 A. The value of n i $s ________.$

Question

The current flowing through the 1 Ω resistor is n/10 A. The value of n i s ________.

G1 Physics · Accepted Answer

Image Using nodal analysis, let the two relevant node potentials be x V and y V as in the source solution. At node y: (y - 5)/2 + y/2 + (y - x + 10)/1 = 0 Therefore: 4y - 2x + 15 = 0 ...(1) At node x: (x - 5)/4 + x/4 + (x - 10 - y)/1 = 0 Therefore: 6x - 4y - 45 = 0 ...(2) Solving (1) and (2): x = 15/2 V y = 0 V Current through the 1 Ω resistor: I = (y - x + 10)/1 = 0 - 7.5 + 10 = 2.5 A Given: I = n/10 A Therefore: n = 25