Two resistors of resistances 3 and 6 respectively are connected to a battery of 6 V so as to have (a) minimum resistance, (b) minimum current. (i) How will you connect the resistances in each case? Calculate the strength of the current in the circuit in both cases.
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Answer:
(a) (i) For minimum current we must make R maximum. This can be done by connecting the resistances in series.
(ii) For maximum current we must make R minimum. This can be done by connecting the resistances in parallel.
(b) (i)R
eq
=R
1
+R
2
=5+10=15Ω
I=
R
eq
V
=
15
6
=0.4A
(ii) R
eq
=
R
1
+R
2
R
1
R
2
=
5+10
5×10
=3.33Ω
I=
R
eq
V
=
3.33
6
=1.8A
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