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Q.

A cell of emf ε and internal resistance r drives a current i through an external resistance R.
a) The cell supplies εi power  

b) Heat is produced in R at the rate ε

c) Heat is produced in R at the rate εiRR+r 
d) Heat is produced in the cell at the rate εirR+r

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a

a, c & d are only true

b

b & d are only true

c

all are true

d

a & b are only true

answer is C.

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Detailed Solution

Given current in circuit is i. 

Power supplied by the cell will be 

P = εi

we know, i = εr+R

Potential difference across R is 

V = i R

V =εr+RR

Rate of heat production in R is 

dHdt=iV=iεr+RR

Rate of heat production in r or cell is 

dHdt=iV=iεr+Rr

 

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