The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9V with internal resistance of 1 Ω is connected across these points i $s _________$ J.

Question

The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9V with internal resistance of 1 Ω is connected across these points i s _________ J.

G1 Physics · Accepted Answer

The resistor network between A and B is a balanced Wheatstone bridge, so no current flows through the central bridge resistor. The two outer branches reduce to equal series combinations. The equivalent resistance between A and B becomes R₍ᴀʙ₎ = 2 Ω. Including the battery's internal resistance, R₍total₎ = 2+1 = 3 Ω. Therefore the current supplied by the battery is i = 9 ─── 3 = 3 A. The heat generated specifically between A and B in 1 minute is H₍ᴀʙ₎ = i²R₍ᴀʙ₎t. Thus, H₍ᴀʙ₎ = 3² × 2 × 60 = 1080…