Question

what is number of equal parts in which conductor having a resistance R• 100 ohm should be cut to obtain the resistance R =1 if the parts are connected in p​

Answer 1

Answer:

The resistance of the conductor is proportional to length of the conductor.

That is, R=ρ

A

l

.

The resistance of one wire of length l, R1 = 100 ohms.

If we cut it in a half:

l

R

1

=

2

l

R

2

→R

2

=

2

R

1

.

If we cut it in n parts the resistance will be R=

n

R

1

.

Because we shorten the length n times so it became

n

l

.

When we connect these parts in parallel the output resistance must be 1 ohm.

So, 1=

R

1

+

R

1

+...=n

R

1

=n

n

R

1

1

=

R

1

n

2

=

100

n

2

→n=10.