A battery of e.m.f. 15 V and internal resistance 2 ohm is connected to two resistors of resistances 4 ohm and 6 ohm joined in series. Find the electrical energy spent per minute in 6 ohm resistor.
A battery of e.m.f. 15 V and internal resistance 2 ohm is connected to two resistors of resistances 4 ohm and 6 ohm joined in series. Find the electrical energy spent per minute in 6 ohm resistor.

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