vii) A cell of emf \( 1.1 V \) and internal resistance \( r \) is connected across an external resistor of resistance \( R=10 \). The potential difference across the resistor is
a) \( 0.1 V \)
b) \( 0.9 V \)
c) \( 1.0 V \)
d) \( 1.1 V \)
Correct Answer - 4
In serie s
curren t `=(NE)/(Nr+R)`
In parallel, current `=(E)/((r//N)+R)=(NE)/(r+NR)`
since the currents in the two cases are equal,
`(NE)/(Nr+R)=(NE)/(r+NR)`
or `Nr+R=r+NR`
or `Nr-r=NR-R`
or `r(N-1)=R(N-1)`
or...
Suppose a resitance R is connected in series, then
Current through the circuit `I=(E)/(R+r)rArr2=(1.5)/(R+0.10)rArr2R+0.2=1.5rArr2R=1.3rArrR=0.65Omega`
(a) Rate of chemical energy consumption actual (Power) of the cell `P=El=1.5xx2=3W`
(b) Rate of energy...