Question

in equivalent resistance the maximum and mininum value are 40ohm and 2.5ohm.find n and R​

Answer 1

Explanation:

Maximum resistance can be obtained when the resistance are connected in series and minimum resistance can be obtained when the resistances are connected in parallel.

R

series

=R+R+R+...=nR.

R

parallel

=

R

1

+

R

1

+

R

1

+...=

n

R

.

Therefore,

R

parallel

R

series

=

n

R

nR

=n

2

.

Hence, he ratio of the maximum to minimum resistance that can be obtained by combining them is n

2

.