Question

Two resistors with resistances 5 ohm and 10 ohm are to be connected to a battery of 6v so as to obtain:
(i)minimum current
(ii)maximum current how will you connect the resistances in each case??

Answer 1

Here's your answer

We know that,

I = V/R

Hence,

current is inversely proportional to resistance

If resistance is maximum, current is minimum

If resistance is minimum, current is maximum

Minimum current is obtained by maximum resistance

Maximum resistance is obtained by connecting in series

Rmax = 5+10 = 15 ohm

Maximum current is obtained by minimum resistance

minimum resistance is obtained by connecting in parallel

Rmin = 5×10/(5+10)

= 50/15 = 10/3 ohm