According to the question,
battery emf V = 15 V
RB = 2 ohm (Internal resistance of battery)
Resistances given in circuit are 4 ohm and 6 ohm respectively.
(i) In series,
Equivalent resistance, R = 12 ohm
Current I = 15 / 12
I = 1.25 A
Voltage across resistor
, V2 = IR = 1.25 × 6
V2 = 7.50 V
Time, t = 1 min = 60 sec
Energy across R2, E = V2t / R
E = [(7.5)2 × 60] / 6
Hence,
E = 562.5 J